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Finding the Fourth Proportional to 20,229.50, 30,344.26 and 7,078.74

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Solution

The fourth proportional to 20,229.50, 30,344.26 and 7,078.74 is: 10,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.50 : 30,344.26 = 7,078.74 : x
  2. Step 2: Convert to fraction form
    20,229.50/30,344.26 = 7,078.74/x
  3. Step 3: Cross multiply
    20,229.50x = 30,344.26 × 7,078.74
  4. Step 4: Simplify right side
    20,229.50x = 214,799,127.03
  5. Step 5: Solve for x
    x = 214,799,127.03/20,229.50
  6. Step 6: Final answer
    x = 10,618.11

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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.