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Finding the Fourth Proportional to 20,229.34, 30,338.22 and 6,902.08

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Solution

The fourth proportional to 20,229.34, 30,338.22 and 6,902.08 is: 10,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.34 : 30,338.22 = 6,902.08 : x
  2. Step 2: Convert to fraction form
    20,229.34/30,338.22 = 6,902.08/x
  3. Step 3: Cross multiply
    20,229.34x = 30,338.22 × 6,902.08
  4. Step 4: Simplify right side
    20,229.34x = 209,396,821.50
  5. Step 5: Solve for x
    x = 209,396,821.50/20,229.34
  6. Step 6: Final answer
    x = 10,351.14

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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.