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Finding the Fourth Proportional to 20,951.88, 31,429.80 and 6,906.12

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Solution

The fourth proportional to 20,951.88, 31,429.80 and 6,906.12 is: 10,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,951.88 : 31,429.80 = 6,906.12 : x
  2. Step 2: Convert to fraction form
    20,951.88/31,429.80 = 6,906.12/x
  3. Step 3: Cross multiply
    20,951.88x = 31,429.80 × 6,906.12
  4. Step 4: Simplify right side
    20,951.88x = 217,057,970.38
  5. Step 5: Solve for x
    x = 217,057,970.38/20,951.88
  6. Step 6: Final answer
    x = 10,359.83

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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.