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Finding the Fourth Proportional to 16,107.86, 22,229.98 and 8,938.15

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Solution

The fourth proportional to 16,107.86, 22,229.98 and 8,938.15 is: 12,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107.86 : 22,229.98 = 8,938.15 : x
  2. Step 2: Convert to fraction form
    16,107.86/22,229.98 = 8,938.15/x
  3. Step 3: Cross multiply
    16,107.86x = 22,229.98 × 8,938.15
  4. Step 4: Simplify right side
    16,107.86x = 198,694,817.82
  5. Step 5: Solve for x
    x = 198,694,817.82/16,107.86
  6. Step 6: Final answer
    x = 12,335.27

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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.