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Finding the Fourth Proportional to 20,439.50, 30,649.22 and 9,198.32

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Solution

The fourth proportional to 20,439.50, 30,649.22 and 9,198.32 is: 13,792.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,439.50 : 30,649.22 = 9,198.32 : x
  2. Step 2: Convert to fraction form
    20,439.50/30,649.22 = 9,198.32/x
  3. Step 3: Cross multiply
    20,439.50x = 30,649.22 × 9,198.32
  4. Step 4: Simplify right side
    20,439.50x = 281,921,333.31
  5. Step 5: Solve for x
    x = 281,921,333.31/20,439.50
  6. Step 6: Final answer
    x = 13,792.97

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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.