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Finding the Fourth Proportional to 16,517.50, 22,794.17 and 8,963.83

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Solution

The fourth proportional to 16,517.50, 22,794.17 and 8,963.83 is: 12,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517.50 : 22,794.17 = 8,963.83 : x
  2. Step 2: Convert to fraction form
    16,517.50/22,794.17 = 8,963.83/x
  3. Step 3: Cross multiply
    16,517.50x = 22,794.17 × 8,963.83
  4. Step 4: Simplify right side
    16,517.50x = 204,323,139.14
  5. Step 5: Solve for x
    x = 204,323,139.14/16,517.50
  6. Step 6: Final answer
    x = 12,370.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.