X:12=3 5/24

To solve the equation \( X : 12 = 3 \frac{5}{24} \), we can first convert the mixed number \( 3 \frac{5}{24} \) into an improper fraction.

1. Convert the mixed number to an improper fraction: \[ 3 \frac{5}{24} = \frac{(3 \times 24) + 5}{24} = \frac{72 + 5}{24} = \frac{77}{24} \]

2. Now the equation can be rewritten as: \[ \frac{X}{12} = \frac{77}{24} \]

3. To solve for \( X \), we can cross-multiply: \[ X \cdot 24 = 77 \cdot 12 \]

4. Calculate \( 77 \cdot 12 \): \[ 77 \cdot 12 = 924 \]

5. Now we have: \[ 24X = 924 \]

6. Divide both sides by 24 to isolate \( X \): \[ X = \frac{924}{24} = 38.5 \]

So, the solution is: \[ X = 38.5 \]