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Finding the Fourth Proportional to 20,791.26, 31,168.26 and 7,634.43

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Solution

The fourth proportional to 20,791.26, 31,168.26 and 7,634.43 is: 11,444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791.26 : 31,168.26 = 7,634.43 : x
  2. Step 2: Convert to fraction form
    20,791.26/31,168.26 = 7,634.43/x
  3. Step 3: Cross multiply
    20,791.26x = 31,168.26 × 7,634.43
  4. Step 4: Simplify right side
    20,791.26x = 237,951,899.19
  5. Step 5: Solve for x
    x = 237,951,899.19/20,791.26
  6. Step 6: Final answer
    x = 11,444.80

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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.