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Finding the Fourth Proportional to 20,517.92, 30,776.87 and 6,487.79

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Solution

The fourth proportional to 20,517.92, 30,776.87 and 6,487.79 is: 9,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.92 : 30,776.87 = 6,487.79 : x
  2. Step 2: Convert to fraction form
    20,517.92/30,776.87 = 6,487.79/x
  3. Step 3: Cross multiply
    20,517.92x = 30,776.87 × 6,487.79
  4. Step 4: Simplify right side
    20,517.92x = 199,673,683.09
  5. Step 5: Solve for x
    x = 199,673,683.09/20,517.92
  6. Step 6: Final answer
    x = 9,731.68

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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.