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Finding the Fourth Proportional to 12,157.43, 18,227.29 and 8,198.85

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Solution

The fourth proportional to 12,157.43, 18,227.29 and 8,198.85 is: 12,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.43 : 18,227.29 = 8,198.85 : x
  2. Step 2: Convert to fraction form
    12,157.43/18,227.29 = 8,198.85/x
  3. Step 3: Cross multiply
    12,157.43x = 18,227.29 × 8,198.85
  4. Step 4: Simplify right side
    12,157.43x = 149,442,856.79
  5. Step 5: Solve for x
    x = 149,442,856.79/12,157.43
  6. Step 6: Final answer
    x = 12,292.30

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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.