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Finding the Fourth Proportional to 13,167.66, 18,180.89 and 8,138.78

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Solution

The fourth proportional to 13,167.66, 18,180.89 and 8,138.78 is: 11,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,167.66 : 18,180.89 = 8,138.78 : x
  2. Step 2: Convert to fraction form
    13,167.66/18,180.89 = 8,138.78/x
  3. Step 3: Cross multiply
    13,167.66x = 18,180.89 × 8,138.78
  4. Step 4: Simplify right side
    13,167.66x = 147,970,132.32
  5. Step 5: Solve for x
    x = 147,970,132.32/13,167.66
  6. Step 6: Final answer
    x = 11,237.39

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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.