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Finding the Fourth Proportional to 21,414.30, 32,115.78 and 9,724.92

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Solution

The fourth proportional to 21,414.30, 32,115.78 and 9,724.92 is: 14,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.30 : 32,115.78 = 9,724.92 : x
  2. Step 2: Convert to fraction form
    21,414.30/32,115.78 = 9,724.92/x
  3. Step 3: Cross multiply
    21,414.30x = 32,115.78 × 9,724.92
  4. Step 4: Simplify right side
    21,414.30x = 312,323,391.24
  5. Step 5: Solve for x
    x = 312,323,391.24/21,414.30
  6. Step 6: Final answer
    x = 14,584.81

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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.