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Finding the Fourth Proportional to 20,951.31, 31,431.29 and 6,912.19

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Solution

The fourth proportional to 20,951.31, 31,431.29 and 6,912.19 is: 10,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,951.31 : 31,431.29 = 6,912.19 : x
  2. Step 2: Convert to fraction form
    20,951.31/31,431.29 = 6,912.19/x
  3. Step 3: Cross multiply
    20,951.31x = 31,431.29 × 6,912.19
  4. Step 4: Simplify right side
    20,951.31x = 217,259,092.03
  5. Step 5: Solve for x
    x = 217,259,092.03/20,951.31
  6. Step 6: Final answer
    x = 10,369.71

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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.