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Finding the Fourth Proportional to 17,791.19, 24,549.71 and 9,832.33

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Solution

The fourth proportional to 17,791.19, 24,549.71 and 9,832.33 is: 13,567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,791.19 : 24,549.71 = 9,832.33 : x
  2. Step 2: Convert to fraction form
    17,791.19/24,549.71 = 9,832.33/x
  3. Step 3: Cross multiply
    17,791.19x = 24,549.71 × 9,832.33
  4. Step 4: Simplify right side
    17,791.19x = 241,380,850.12
  5. Step 5: Solve for x
    x = 241,380,850.12/17,791.19
  6. Step 6: Final answer
    x = 13,567.44

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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.