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Finding the Fourth Proportional to 20,963.88, 31,456.62 and 9,285.30

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Solution

The fourth proportional to 20,963.88, 31,456.62 and 9,285.30 is: 13,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,963.88 : 31,456.62 = 9,285.30 : x
  2. Step 2: Convert to fraction form
    20,963.88/31,456.62 = 9,285.30/x
  3. Step 3: Cross multiply
    20,963.88x = 31,456.62 × 9,285.30
  4. Step 4: Simplify right side
    20,963.88x = 292,084,153.69
  5. Step 5: Solve for x
    x = 292,084,153.69/20,963.88
  6. Step 6: Final answer
    x = 13,932.73

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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.