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Finding the Fourth Proportional to 12,099.38, 18,142.38 and 8,150.42

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Solution

The fourth proportional to 12,099.38, 18,142.38 and 8,150.42 is: 12,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.38 : 18,142.38 = 8,150.42 : x
  2. Step 2: Convert to fraction form
    12,099.38/18,142.38 = 8,150.42/x
  3. Step 3: Cross multiply
    12,099.38x = 18,142.38 × 8,150.42
  4. Step 4: Simplify right side
    12,099.38x = 147,868,062.16
  5. Step 5: Solve for x
    x = 147,868,062.16/12,099.38
  6. Step 6: Final answer
    x = 12,221.13

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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.