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Finding the Fourth Proportional to 22,140.68, 30,557.22 and 12,713

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Solution

The fourth proportional to 22,140.68, 30,557.22 and 12,713 is: 17,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,140.68 : 30,557.22 = 12,713 : x
  2. Step 2: Convert to fraction form
    22,140.68/30,557.22 = 12,713/x
  3. Step 3: Cross multiply
    22,140.68x = 30,557.22 × 12,713
  4. Step 4: Simplify right side
    22,140.68x = 388,473,937.86
  5. Step 5: Solve for x
    x = 388,473,937.86/22,140.68
  6. Step 6: Final answer
    x = 17,545.71

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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.