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Finding the Fourth Proportional to 20,198.26, 30,297.07 and 6,347.26

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Solution

The fourth proportional to 20,198.26, 30,297.07 and 6,347.26 is: 9,520.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.26 : 30,297.07 = 6,347.26 : x
  2. Step 2: Convert to fraction form
    20,198.26/30,297.07 = 6,347.26/x
  3. Step 3: Cross multiply
    20,198.26x = 30,297.07 × 6,347.26
  4. Step 4: Simplify right side
    20,198.26x = 192,303,426.33
  5. Step 5: Solve for x
    x = 192,303,426.33/20,198.26
  6. Step 6: Final answer
    x = 9,520.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.