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Finding the Fourth Proportional to 22,689.62, 34,013.68 and 9,542.92

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Solution

The fourth proportional to 22,689.62, 34,013.68 and 9,542.92 is: 14,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,689.62 : 34,013.68 = 9,542.92 : x
  2. Step 2: Convert to fraction form
    22,689.62/34,013.68 = 9,542.92/x
  3. Step 3: Cross multiply
    22,689.62x = 34,013.68 × 9,542.92
  4. Step 4: Simplify right side
    22,689.62x = 324,589,827.15
  5. Step 5: Solve for x
    x = 324,589,827.15/22,689.62
  6. Step 6: Final answer
    x = 14,305.65

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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.