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Finding the Fourth Proportional to 20,540.34, 30,815.91 and 8,850.78

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Solution

The fourth proportional to 20,540.34, 30,815.91 and 8,850.78 is: 13,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.34 : 30,815.91 = 8,850.78 : x
  2. Step 2: Convert to fraction form
    20,540.34/30,815.91 = 8,850.78/x
  3. Step 3: Cross multiply
    20,540.34x = 30,815.91 × 8,850.78
  4. Step 4: Simplify right side
    20,540.34x = 272,744,839.91
  5. Step 5: Solve for x
    x = 272,744,839.91/20,540.34
  6. Step 6: Final answer
    x = 13,278.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.