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Finding the Fourth Proportional to 25,494, 38,233.72 and 10,706.24

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Solution

The fourth proportional to 25,494, 38,233.72 and 10,706.24 is: 16,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494 : 38,233.72 = 10,706.24 : x
  2. Step 2: Convert to fraction form
    25,494/38,233.72 = 10,706.24/x
  3. Step 3: Cross multiply
    25,494x = 38,233.72 × 10,706.24
  4. Step 4: Simplify right side
    25,494x = 409,339,382.41
  5. Step 5: Solve for x
    x = 409,339,382.41/25,494
  6. Step 6: Final answer
    x = 16,056.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.