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Finding the Fourth Proportional to 20,343.50, 30,515.43 and 7,198.10

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Solution

The fourth proportional to 20,343.50, 30,515.43 and 7,198.10 is: 10,797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,343.50 : 30,515.43 = 7,198.10 : x
  2. Step 2: Convert to fraction form
    20,343.50/30,515.43 = 7,198.10/x
  3. Step 3: Cross multiply
    20,343.50x = 30,515.43 × 7,198.10
  4. Step 4: Simplify right side
    20,343.50x = 219,653,116.68
  5. Step 5: Solve for x
    x = 219,653,116.68/20,343.50
  6. Step 6: Final answer
    x = 10,797.21

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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.