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Finding the Fourth Proportional to 20,780.66, 31,163.61 and 6,737.27

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Solution

The fourth proportional to 20,780.66, 31,163.61 and 6,737.27 is: 10,103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,780.66 : 31,163.61 = 6,737.27 : x
  2. Step 2: Convert to fraction form
    20,780.66/31,163.61 = 6,737.27/x
  3. Step 3: Cross multiply
    20,780.66x = 31,163.61 × 6,737.27
  4. Step 4: Simplify right side
    20,780.66x = 209,957,654.74
  5. Step 5: Solve for x
    x = 209,957,654.74/20,780.66
  6. Step 6: Final answer
    x = 10,103.51

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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.