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Finding the Fourth Proportional to 29,778.64, 41,098.80 and 17,842.48

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Solution

The fourth proportional to 29,778.64, 41,098.80 and 17,842.48 is: 24,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,778.64 : 41,098.80 = 17,842.48 : x
  2. Step 2: Convert to fraction form
    29,778.64/41,098.80 = 17,842.48/x
  3. Step 3: Cross multiply
    29,778.64x = 41,098.80 × 17,842.48
  4. Step 4: Simplify right side
    29,778.64x = 733,304,517.02
  5. Step 5: Solve for x
    x = 733,304,517.02/29,778.64
  6. Step 6: Final answer
    x = 24,625.18

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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.