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Finding the Fourth Proportional to 20,638.26, 30,953.43 and 5,843.61

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Solution

The fourth proportional to 20,638.26, 30,953.43 and 5,843.61 is: 8,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638.26 : 30,953.43 = 5,843.61 : x
  2. Step 2: Convert to fraction form
    20,638.26/30,953.43 = 5,843.61/x
  3. Step 3: Cross multiply
    20,638.26x = 30,953.43 × 5,843.61
  4. Step 4: Simplify right side
    20,638.26x = 180,879,773.08
  5. Step 5: Solve for x
    x = 180,879,773.08/20,638.26
  6. Step 6: Final answer
    x = 8,764.29

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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.