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Finding the Fourth Proportional to 22,757.54, 31,418.86 and 20,232.66

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Solution

The fourth proportional to 22,757.54, 31,418.86 and 20,232.66 is: 27,933.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.54 : 31,418.86 = 20,232.66 : x
  2. Step 2: Convert to fraction form
    22,757.54/31,418.86 = 20,232.66/x
  3. Step 3: Cross multiply
    22,757.54x = 31,418.86 × 20,232.66
  4. Step 4: Simplify right side
    22,757.54x = 635,687,023.45
  5. Step 5: Solve for x
    x = 635,687,023.45/22,757.54
  6. Step 6: Final answer
    x = 27,933.03

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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.