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Finding the Fourth Proportional to 24,506.72, 36,772.23 and 9,715.31

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Solution

The fourth proportional to 24,506.72, 36,772.23 and 9,715.31 is: 14,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.72 : 36,772.23 = 9,715.31 : x
  2. Step 2: Convert to fraction form
    24,506.72/36,772.23 = 9,715.31/x
  3. Step 3: Cross multiply
    24,506.72x = 36,772.23 × 9,715.31
  4. Step 4: Simplify right side
    24,506.72x = 357,253,429.98
  5. Step 5: Solve for x
    x = 357,253,429.98/24,506.72
  6. Step 6: Final answer
    x = 14,577.78

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