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Finding the Fourth Proportional to 20,344.50, 30,517.29 and 6,493.50

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Solution

The fourth proportional to 20,344.50, 30,517.29 and 6,493.50 is: 9,740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,344.50 : 30,517.29 = 6,493.50 : x
  2. Step 2: Convert to fraction form
    20,344.50/30,517.29 = 6,493.50/x
  3. Step 3: Cross multiply
    20,344.50x = 30,517.29 × 6,493.50
  4. Step 4: Simplify right side
    20,344.50x = 198,164,022.62
  5. Step 5: Solve for x
    x = 198,164,022.62/20,344.50
  6. Step 6: Final answer
    x = 9,740.42

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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.