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Finding the Fourth Proportional to 20,592.57, 30,864.96 and 9,475.92

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Solution

The fourth proportional to 20,592.57, 30,864.96 and 9,475.92 is: 14,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,592.57 : 30,864.96 = 9,475.92 : x
  2. Step 2: Convert to fraction form
    20,592.57/30,864.96 = 9,475.92/x
  3. Step 3: Cross multiply
    20,592.57x = 30,864.96 × 9,475.92
  4. Step 4: Simplify right side
    20,592.57x = 292,473,891.76
  5. Step 5: Solve for x
    x = 292,473,891.76/20,592.57
  6. Step 6: Final answer
    x = 14,202.88

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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.