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Finding the Fourth Proportional to 16,105.88, 22,231.89 and 12,138.30

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Solution

The fourth proportional to 16,105.88, 22,231.89 and 12,138.30 is: 16,755.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.88 : 22,231.89 = 12,138.30 : x
  2. Step 2: Convert to fraction form
    16,105.88/22,231.89 = 12,138.30/x
  3. Step 3: Cross multiply
    16,105.88x = 22,231.89 × 12,138.30
  4. Step 4: Simplify right side
    16,105.88x = 269,857,350.39
  5. Step 5: Solve for x
    x = 269,857,350.39/16,105.88
  6. Step 6: Final answer
    x = 16,755.20

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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.