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Finding the Fourth Proportional to 12,149.30, 18,231.15 and 8,001.20

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Solution

The fourth proportional to 12,149.30, 18,231.15 and 8,001.20 is: 12,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.30 : 18,231.15 = 8,001.20 : x
  2. Step 2: Convert to fraction form
    12,149.30/18,231.15 = 8,001.20/x
  3. Step 3: Cross multiply
    12,149.30x = 18,231.15 × 8,001.20
  4. Step 4: Simplify right side
    12,149.30x = 145,871,077.38
  5. Step 5: Solve for x
    x = 145,871,077.38/12,149.30
  6. Step 6: Final answer
    x = 12,006.54

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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.