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Finding the Fourth Proportional to 13,084.60, 18,049.05 and 8,231.61

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Solution

The fourth proportional to 13,084.60, 18,049.05 and 8,231.61 is: 11,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.60 : 18,049.05 = 8,231.61 : x
  2. Step 2: Convert to fraction form
    13,084.60/18,049.05 = 8,231.61/x
  3. Step 3: Cross multiply
    13,084.60x = 18,049.05 × 8,231.61
  4. Step 4: Simplify right side
    13,084.60x = 148,572,729.78
  5. Step 5: Solve for x
    x = 148,572,729.78/13,084.60
  6. Step 6: Final answer
    x = 11,354.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.