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Finding the Fourth Proportional to 20,037.26, 30,049.07 and 8,189.25

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Solution

The fourth proportional to 20,037.26, 30,049.07 and 8,189.25 is: 12,281.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,037.26 : 30,049.07 = 8,189.25 : x
  2. Step 2: Convert to fraction form
    20,037.26/30,049.07 = 8,189.25/x
  3. Step 3: Cross multiply
    20,037.26x = 30,049.07 × 8,189.25
  4. Step 4: Simplify right side
    20,037.26x = 246,079,305.55
  5. Step 5: Solve for x
    x = 246,079,305.55/20,037.26
  6. Step 6: Final answer
    x = 12,281.09

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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.