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Finding the Fourth Proportional to 20,711.70, 31,091.85 and 20,565.90

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Solution

The fourth proportional to 20,711.70, 31,091.85 and 20,565.90 is: 30,872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711.70 : 31,091.85 = 20,565.90 : x
  2. Step 2: Convert to fraction form
    20,711.70/31,091.85 = 20,565.90/x
  3. Step 3: Cross multiply
    20,711.70x = 31,091.85 × 20,565.90
  4. Step 4: Simplify right side
    20,711.70x = 639,431,877.92
  5. Step 5: Solve for x
    x = 639,431,877.92/20,711.70
  6. Step 6: Final answer
    x = 30,872.98

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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.