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Finding the Fourth Proportional to 13,821.22, 20,728.17 and 5,500.90

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Solution

The fourth proportional to 13,821.22, 20,728.17 and 5,500.90 is: 8,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.22 : 20,728.17 = 5,500.90 : x
  2. Step 2: Convert to fraction form
    13,821.22/20,728.17 = 5,500.90/x
  3. Step 3: Cross multiply
    13,821.22x = 20,728.17 × 5,500.90
  4. Step 4: Simplify right side
    13,821.22x = 114,023,590.35
  5. Step 5: Solve for x
    x = 114,023,590.35/13,821.22
  6. Step 6: Final answer
    x = 8,249.89

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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.