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Finding the Fourth Proportional to 15,546.84, 23,327.14 and 8,149.53

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Solution

The fourth proportional to 15,546.84, 23,327.14 and 8,149.53 is: 12,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,546.84 : 23,327.14 = 8,149.53 : x
  2. Step 2: Convert to fraction form
    15,546.84/23,327.14 = 8,149.53/x
  3. Step 3: Cross multiply
    15,546.84x = 23,327.14 × 8,149.53
  4. Step 4: Simplify right side
    15,546.84x = 190,105,227.24
  5. Step 5: Solve for x
    x = 190,105,227.24/15,546.84
  6. Step 6: Final answer
    x = 12,227.90

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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.