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Finding the Fourth Proportional to 17,791.31, 24,549.89 and 9,832.46

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Solution

The fourth proportional to 17,791.31, 24,549.89 and 9,832.46 is: 13,567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,791.31 : 24,549.89 = 9,832.46 : x
  2. Step 2: Convert to fraction form
    17,791.31/24,549.89 = 9,832.46/x
  3. Step 3: Cross multiply
    17,791.31x = 24,549.89 × 9,832.46
  4. Step 4: Simplify right side
    17,791.31x = 241,385,639.52
  5. Step 5: Solve for x
    x = 241,385,639.52/17,791.31
  6. Step 6: Final answer
    x = 13,567.61

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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.