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Finding the Fourth Proportional to 22,939.68, 34,412.88 and 9,792

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Solution

The fourth proportional to 22,939.68, 34,412.88 and 9,792 is: 14,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,939.68 : 34,412.88 = 9,792 : x
  2. Step 2: Convert to fraction form
    22,939.68/34,412.88 = 9,792/x
  3. Step 3: Cross multiply
    22,939.68x = 34,412.88 × 9,792
  4. Step 4: Simplify right side
    22,939.68x = 336,970,920.96
  5. Step 5: Solve for x
    x = 336,970,920.96/22,939.68
  6. Step 6: Final answer
    x = 14,689.43

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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.