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Finding the Fourth Proportional to 20,781.92, 31,175.64 and 7,634.48

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Solution

The fourth proportional to 20,781.92, 31,175.64 and 7,634.48 is: 11,452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781.92 : 31,175.64 = 7,634.48 : x
  2. Step 2: Convert to fraction form
    20,781.92/31,175.64 = 7,634.48/x
  3. Step 3: Cross multiply
    20,781.92x = 31,175.64 × 7,634.48
  4. Step 4: Simplify right side
    20,781.92x = 238,009,800.07
  5. Step 5: Solve for x
    x = 238,009,800.07/20,781.92
  6. Step 6: Final answer
    x = 11,452.73

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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.