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Finding the Fourth Proportional to 21,306.60, 31,932.90 and 8,141.40

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Solution

The fourth proportional to 21,306.60, 31,932.90 and 8,141.40 is: 12,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,306.60 : 31,932.90 = 8,141.40 : x
  2. Step 2: Convert to fraction form
    21,306.60/31,932.90 = 8,141.40/x
  3. Step 3: Cross multiply
    21,306.60x = 31,932.90 × 8,141.40
  4. Step 4: Simplify right side
    21,306.60x = 259,978,512.06
  5. Step 5: Solve for x
    x = 259,978,512.06/21,306.60
  6. Step 6: Final answer
    x = 12,201.78

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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.