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Finding the Fourth Proportional to 12,138.10, 16,755.75 and 8,161.53

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Solution

The fourth proportional to 12,138.10, 16,755.75 and 8,161.53 is: 11,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.10 : 16,755.75 = 8,161.53 : x
  2. Step 2: Convert to fraction form
    12,138.10/16,755.75 = 8,161.53/x
  3. Step 3: Cross multiply
    12,138.10x = 16,755.75 × 8,161.53
  4. Step 4: Simplify right side
    12,138.10x = 136,752,556.30
  5. Step 5: Solve for x
    x = 136,752,556.30/12,138.10
  6. Step 6: Final answer
    x = 11,266.39

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Why These Related Problems?

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