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Finding the Fourth Proportional to 12,138.23, 16,755.92 and 8,161.65

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Solution

The fourth proportional to 12,138.23, 16,755.92 and 8,161.65 is: 11,266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.23 : 16,755.92 = 8,161.65 : x
  2. Step 2: Convert to fraction form
    12,138.23/16,755.92 = 8,161.65/x
  3. Step 3: Cross multiply
    12,138.23x = 16,755.92 × 8,161.65
  4. Step 4: Simplify right side
    12,138.23x = 136,755,974.87
  5. Step 5: Solve for x
    x = 136,755,974.87/12,138.23
  6. Step 6: Final answer
    x = 11,266.55

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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.