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Finding the Fourth Proportional to 22,229.25, 30,675.96 and 13,278.75

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Solution

The fourth proportional to 22,229.25, 30,675.96 and 13,278.75 is: 18,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,229.25 : 30,675.96 = 13,278.75 : x
  2. Step 2: Convert to fraction form
    22,229.25/30,675.96 = 13,278.75/x
  3. Step 3: Cross multiply
    22,229.25x = 30,675.96 × 13,278.75
  4. Step 4: Simplify right side
    22,229.25x = 407,338,403.85
  5. Step 5: Solve for x
    x = 407,338,403.85/22,229.25
  6. Step 6: Final answer
    x = 18,324.43

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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.