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Finding the Fourth Proportional to 20,296.26, 30,447.26 and 6,257.43

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Solution

The fourth proportional to 20,296.26, 30,447.26 and 6,257.43 is: 9,387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,296.26 : 30,447.26 = 6,257.43 : x
  2. Step 2: Convert to fraction form
    20,296.26/30,447.26 = 6,257.43/x
  3. Step 3: Cross multiply
    20,296.26x = 30,447.26 × 6,257.43
  4. Step 4: Simplify right side
    20,296.26x = 190,521,613.79
  5. Step 5: Solve for x
    x = 190,521,613.79/20,296.26
  6. Step 6: Final answer
    x = 9,387.03

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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.