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Finding the Fourth Proportional to 20,279.25, 30,418.74 and 5,489.69

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Solution

The fourth proportional to 20,279.25, 30,418.74 and 5,489.69 is: 8,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,279.25 : 30,418.74 = 5,489.69 : x
  2. Step 2: Convert to fraction form
    20,279.25/30,418.74 = 5,489.69/x
  3. Step 3: Cross multiply
    20,279.25x = 30,418.74 × 5,489.69
  4. Step 4: Simplify right side
    20,279.25x = 166,989,300.70
  5. Step 5: Solve for x
    x = 166,989,300.70/20,279.25
  6. Step 6: Final answer
    x = 8,234.49

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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.