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Finding the Fourth Proportional to 20,467.26, 30,700.90 and 8,163.90

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Solution

The fourth proportional to 20,467.26, 30,700.90 and 8,163.90 is: 12,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,467.26 : 30,700.90 = 8,163.90 : x
  2. Step 2: Convert to fraction form
    20,467.26/30,700.90 = 8,163.90/x
  3. Step 3: Cross multiply
    20,467.26x = 30,700.90 × 8,163.90
  4. Step 4: Simplify right side
    20,467.26x = 250,639,077.51
  5. Step 5: Solve for x
    x = 250,639,077.51/20,467.26
  6. Step 6: Final answer
    x = 12,245.85

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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.