To solve this expression, we need to follow the order of operations (PEMDAS/BODMAS).

1:17,5 × 24 + 13,4 × 24 − 7,9 × 24 / 1 + 4 + 7 + ... + 55 + 58 − 39 × 11

First, let's simplify the multiplication and division:

= 417 × 24 + 321.6 × 24 - 189.6 × 24 / 1 + 4 + 7 + ... + 55 + 58 - 429

Next, let's simplify the addition:

= 417 × 24 + 321.6 × 24 - 189.6 × 24 / (1 + 4 + 7 + ... + 55 + 58 - 429)

Now, let's calculate the sum of the series in the denominator:

= 417 × 24 + 321.6 × 24 - 189.6 × 24 / (3 + 6 + 9 + ... + 55 + 58 - 429)

The series in the denominator is an arithmetic series with a common difference of 3. We can use the formula for the sum of an arithmetic series:

Sum = (n/2)(first term + last term)

The first term is 3, and the last term can be found by subtracting 429 from 58 and then dividing by 3:

Last term = (58 - 429) / 3 = -123.67

Now, we can calculate the sum:

Sum = (n/2)(first term + last term)
= (56/2)(3 + (-123.67))
= 28(-120.67)
= -3,380.76

Substituting this value back into the expression:

= 417 × 24 + 321.6 × 24 - 189.6 × 24 / -3,380.76

Finally, we can calculate the result:

= (10,008 + 7,718.4 - 4,550.4) / -3,380.76
= 13,176 / -3,380.76
= -3.9