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Finding the Fourth Proportional to 23,616.96, 32,591.45 and 13,006.61

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Solution

The fourth proportional to 23,616.96, 32,591.45 and 13,006.61 is: 17,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.96 : 32,591.45 = 13,006.61 : x
  2. Step 2: Convert to fraction form
    23,616.96/32,591.45 = 13,006.61/x
  3. Step 3: Cross multiply
    23,616.96x = 32,591.45 × 13,006.61
  4. Step 4: Simplify right side
    23,616.96x = 423,904,279.48
  5. Step 5: Solve for x
    x = 423,904,279.48/23,616.96
  6. Step 6: Final answer
    x = 17,949.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.