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Finding the Fourth Proportional to 20,179.26, 30,272.13 and 8,494.20

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Solution

The fourth proportional to 20,179.26, 30,272.13 and 8,494.20 is: 12,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179.26 : 30,272.13 = 8,494.20 : x
  2. Step 2: Convert to fraction form
    20,179.26/30,272.13 = 8,494.20/x
  3. Step 3: Cross multiply
    20,179.26x = 30,272.13 × 8,494.20
  4. Step 4: Simplify right side
    20,179.26x = 257,137,526.65
  5. Step 5: Solve for x
    x = 257,137,526.65/20,179.26
  6. Step 6: Final answer
    x = 12,742.66

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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.