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Finding the Fourth Proportional to 15,546.78, 23,327.06 and 8,149.47

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Solution

The fourth proportional to 15,546.78, 23,327.06 and 8,149.47 is: 12,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,546.78 : 23,327.06 = 8,149.47 : x
  2. Step 2: Convert to fraction form
    15,546.78/23,327.06 = 8,149.47/x
  3. Step 3: Cross multiply
    15,546.78x = 23,327.06 × 8,149.47
  4. Step 4: Simplify right side
    15,546.78x = 190,103,134.91
  5. Step 5: Solve for x
    x = 190,103,134.91/15,546.78
  6. Step 6: Final answer
    x = 12,227.81

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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.