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Finding the Fourth Proportional to 25,700.46, 38,463 and 21,545.16

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Solution

The fourth proportional to 25,700.46, 38,463 and 21,545.16 is: 32,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,700.46 : 38,463 = 21,545.16 : x
  2. Step 2: Convert to fraction form
    25,700.46/38,463 = 21,545.16/x
  3. Step 3: Cross multiply
    25,700.46x = 38,463 × 21,545.16
  4. Step 4: Simplify right side
    25,700.46x = 828,691,489.08
  5. Step 5: Solve for x
    x = 828,691,489.08/25,700.46
  6. Step 6: Final answer
    x = 32,244.23

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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.