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Finding the Fourth Proportional to 20,261.92, 30,380.87 and 6,930.20

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Solution

The fourth proportional to 20,261.92, 30,380.87 and 6,930.20 is: 10,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,261.92 : 30,380.87 = 6,930.20 : x
  2. Step 2: Convert to fraction form
    20,261.92/30,380.87 = 6,930.20/x
  3. Step 3: Cross multiply
    20,261.92x = 30,380.87 × 6,930.20
  4. Step 4: Simplify right side
    20,261.92x = 210,545,505.27
  5. Step 5: Solve for x
    x = 210,545,505.27/20,261.92
  6. Step 6: Final answer
    x = 10,391.19

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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.