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Finding the Fourth Proportional to 20,137.68, 30,221.10 and 8,458.56

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Solution

The fourth proportional to 20,137.68, 30,221.10 and 8,458.56 is: 12,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.68 : 30,221.10 = 8,458.56 : x
  2. Step 2: Convert to fraction form
    20,137.68/30,221.10 = 8,458.56/x
  3. Step 3: Cross multiply
    20,137.68x = 30,221.10 × 8,458.56
  4. Step 4: Simplify right side
    20,137.68x = 255,626,987.62
  5. Step 5: Solve for x
    x = 255,626,987.62/20,137.68
  6. Step 6: Final answer
    x = 12,693.96

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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.