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Finding the Fourth Proportional to 16,287.60, 24,414.72 and 6,422.88

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Solution

The fourth proportional to 16,287.60, 24,414.72 and 6,422.88 is: 9,627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.60 : 24,414.72 = 6,422.88 : x
  2. Step 2: Convert to fraction form
    16,287.60/24,414.72 = 6,422.88/x
  3. Step 3: Cross multiply
    16,287.60x = 24,414.72 × 6,422.88
  4. Step 4: Simplify right side
    16,287.60x = 156,812,816.79
  5. Step 5: Solve for x
    x = 156,812,816.79/16,287.60
  6. Step 6: Final answer
    x = 9,627.74

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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.