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Finding the Fourth Proportional to 20,930.86, 31,398.87 and 6,887.29

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Solution

The fourth proportional to 20,930.86, 31,398.87 and 6,887.29 is: 10,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930.86 : 31,398.87 = 6,887.29 : x
  2. Step 2: Convert to fraction form
    20,930.86/31,398.87 = 6,887.29/x
  3. Step 3: Cross multiply
    20,930.86x = 31,398.87 × 6,887.29
  4. Step 4: Simplify right side
    20,930.86x = 216,253,123.36
  5. Step 5: Solve for x
    x = 216,253,123.36/20,930.86
  6. Step 6: Final answer
    x = 10,331.78

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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.