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Finding the Fourth Proportional to 17,740.41, 24,481.20 and 9,782.97

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Solution

The fourth proportional to 17,740.41, 24,481.20 and 9,782.97 is: 13,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.41 : 24,481.20 = 9,782.97 : x
  2. Step 2: Convert to fraction form
    17,740.41/24,481.20 = 9,782.97/x
  3. Step 3: Cross multiply
    17,740.41x = 24,481.20 × 9,782.97
  4. Step 4: Simplify right side
    17,740.41x = 239,498,845.16
  5. Step 5: Solve for x
    x = 239,498,845.16/17,740.41
  6. Step 6: Final answer
    x = 13,500.19

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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.