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Finding the Fourth Proportional to 17,540.12, 24,204.96 and 9,582.56

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Solution

The fourth proportional to 17,540.12, 24,204.96 and 9,582.56 is: 13,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.12 : 24,204.96 = 9,582.56 : x
  2. Step 2: Convert to fraction form
    17,540.12/24,204.96 = 9,582.56/x
  3. Step 3: Cross multiply
    17,540.12x = 24,204.96 × 9,582.56
  4. Step 4: Simplify right side
    17,540.12x = 231,945,481.50
  5. Step 5: Solve for x
    x = 231,945,481.50/17,540.12
  6. Step 6: Final answer
    x = 13,223.71

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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.