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Finding the Fourth Proportional to 20,231.87, 27,920 and 11,279.20

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Solution

The fourth proportional to 20,231.87, 27,920 and 11,279.20 is: 15,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,231.87 : 27,920 = 11,279.20 : x
  2. Step 2: Convert to fraction form
    20,231.87/27,920 = 11,279.20/x
  3. Step 3: Cross multiply
    20,231.87x = 27,920 × 11,279.20
  4. Step 4: Simplify right side
    20,231.87x = 314,915,124.40
  5. Step 5: Solve for x
    x = 314,915,124.40/20,231.87
  6. Step 6: Final answer
    x = 15,565.30

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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.