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Finding the Fourth Proportional to 20,711.97, 31,069.98 and 8,229.21

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Solution

The fourth proportional to 20,711.97, 31,069.98 and 8,229.21 is: 12,344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711.97 : 31,069.98 = 8,229.21 : x
  2. Step 2: Convert to fraction form
    20,711.97/31,069.98 = 8,229.21/x
  3. Step 3: Cross multiply
    20,711.97x = 31,069.98 × 8,229.21
  4. Step 4: Simplify right side
    20,711.97x = 255,681,513.91
  5. Step 5: Solve for x
    x = 255,681,513.91/20,711.97
  6. Step 6: Final answer
    x = 12,344.62

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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.