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Finding the Fourth Proportional to 12,151.30, 18,234.18 and 8,003.20

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Solution

The fourth proportional to 12,151.30, 18,234.18 and 8,003.20 is: 12,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.30 : 18,234.18 = 8,003.20 : x
  2. Step 2: Convert to fraction form
    12,151.30/18,234.18 = 8,003.20/x
  3. Step 3: Cross multiply
    12,151.30x = 18,234.18 × 8,003.20
  4. Step 4: Simplify right side
    12,151.30x = 145,931,789.38
  5. Step 5: Solve for x
    x = 145,931,789.38/12,151.30
  6. Step 6: Final answer
    x = 12,009.56

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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.