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Finding the Fourth Proportional to 21,643.38, 32,469.48 and 9,791.46

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Solution

The fourth proportional to 21,643.38, 32,469.48 and 9,791.46 is: 14,689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643.38 : 32,469.48 = 9,791.46 : x
  2. Step 2: Convert to fraction form
    21,643.38/32,469.48 = 9,791.46/x
  3. Step 3: Cross multiply
    21,643.38x = 32,469.48 × 9,791.46
  4. Step 4: Simplify right side
    21,643.38x = 317,923,614.64
  5. Step 5: Solve for x
    x = 317,923,614.64/21,643.38
  6. Step 6: Final answer
    x = 14,689.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.