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Finding the Fourth Proportional to 21,260.46, 31,892.21 and 6,469.31

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Solution

The fourth proportional to 21,260.46, 31,892.21 and 6,469.31 is: 9,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,260.46 : 31,892.21 = 6,469.31 : x
  2. Step 2: Convert to fraction form
    21,260.46/31,892.21 = 6,469.31/x
  3. Step 3: Cross multiply
    21,260.46x = 31,892.21 × 6,469.31
  4. Step 4: Simplify right side
    21,260.46x = 206,320,593.08
  5. Step 5: Solve for x
    x = 206,320,593.08/21,260.46
  6. Step 6: Final answer
    x = 9,704.43

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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.