Question 15

x = 16

To solve for x in the proportion 3:2 :: 24:x, we can set up the equation 3/2 = 24/x and cross-multiply. This leads us to find that x equals 16.

A) 16

Option A is correct because substituting x with 16 in the proportion yields 3/2 = 24/16, which simplifies to 3/2 = 3/2, confirming the equality.

B) 12

Option B is incorrect as substituting x with 12 gives 3/2 = 24/12. This simplifies to 3/2 = 2, which is not true and does not maintain the proportion.

C) 2

Option C is also incorrect. If we substitute x with 2, we have 3/2 = 24/2. This simplifies to 3/2 = 12, which does not hold true, failing to satisfy the proportion.

D) 22

Option D is incorrect as well. Substituting x with 22 results in 3/2 = 24/22. This simplifies to 3/2 = 1.09, which does not equal 3/2, thereby failing to maintain the proportional relationship.

Conclusion

The correct answer is 16 because it accurately maintains the proportional relationship established in the problem. All other options do not satisfy the equality required for the proportion, making them incorrect.