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Finding the Fourth Proportional to 11,549.59, 17,321.31 and 3,229.09

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Solution

The fourth proportional to 11,549.59, 17,321.31 and 3,229.09 is: 4,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.59 : 17,321.31 = 3,229.09 : x
  2. Step 2: Convert to fraction form
    11,549.59/17,321.31 = 3,229.09/x
  3. Step 3: Cross multiply
    11,549.59x = 17,321.31 × 3,229.09
  4. Step 4: Simplify right side
    11,549.59x = 55,932,068.91
  5. Step 5: Solve for x
    x = 55,932,068.91/11,549.59
  6. Step 6: Final answer
    x = 4,842.78

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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.