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Finding the Fourth Proportional to 20,517.78, 28,314.15 and 11,565.12

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Solution

The fourth proportional to 20,517.78, 28,314.15 and 11,565.12 is: 15,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.78 : 28,314.15 = 11,565.12 : x
  2. Step 2: Convert to fraction form
    20,517.78/28,314.15 = 11,565.12/x
  3. Step 3: Cross multiply
    20,517.78x = 28,314.15 × 11,565.12
  4. Step 4: Simplify right side
    20,517.78x = 327,456,542.45
  5. Step 5: Solve for x
    x = 327,456,542.45/20,517.78
  6. Step 6: Final answer
    x = 15,959.65

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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.