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Finding the Fourth Proportional to 13,672.31, 20,507.49 and 8,108.19

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Solution

The fourth proportional to 13,672.31, 20,507.49 and 8,108.19 is: 12,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.31 : 20,507.49 = 8,108.19 : x
  2. Step 2: Convert to fraction form
    13,672.31/20,507.49 = 8,108.19/x
  3. Step 3: Cross multiply
    13,672.31x = 20,507.49 × 8,108.19
  4. Step 4: Simplify right side
    13,672.31x = 166,278,625.34
  5. Step 5: Solve for x
    x = 166,278,625.34/13,672.31
  6. Step 6: Final answer
    x = 12,161.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.