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Finding the Fourth Proportional to 16,078.64, 24,098.52 and 8,283.20

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Solution

The fourth proportional to 16,078.64, 24,098.52 and 8,283.20 is: 12,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.64 : 24,098.52 = 8,283.20 : x
  2. Step 2: Convert to fraction form
    16,078.64/24,098.52 = 8,283.20/x
  3. Step 3: Cross multiply
    16,078.64x = 24,098.52 × 8,283.20
  4. Step 4: Simplify right side
    16,078.64x = 199,612,860.86
  5. Step 5: Solve for x
    x = 199,612,860.86/16,078.64
  6. Step 6: Final answer
    x = 12,414.79

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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.