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Finding the Fourth Proportional to 12,169.31, 16,770.02 and 8,131.57

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Solution

The fourth proportional to 12,169.31, 16,770.02 and 8,131.57 is: 11,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.31 : 16,770.02 = 8,131.57 : x
  2. Step 2: Convert to fraction form
    12,169.31/16,770.02 = 8,131.57/x
  3. Step 3: Cross multiply
    12,169.31x = 16,770.02 × 8,131.57
  4. Step 4: Simplify right side
    12,169.31x = 136,366,508.95
  5. Step 5: Solve for x
    x = 136,366,508.95/12,169.31
  6. Step 6: Final answer
    x = 11,205.78

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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.