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Finding the Fourth Proportional to 20,165.64, 30,254.52 and 8,151.60

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Solution

The fourth proportional to 20,165.64, 30,254.52 and 8,151.60 is: 12,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.64 : 30,254.52 = 8,151.60 : x
  2. Step 2: Convert to fraction form
    20,165.64/30,254.52 = 8,151.60/x
  3. Step 3: Cross multiply
    20,165.64x = 30,254.52 × 8,151.60
  4. Step 4: Simplify right side
    20,165.64x = 246,622,745.23
  5. Step 5: Solve for x
    x = 246,622,745.23/20,165.64
  6. Step 6: Final answer
    x = 12,229.85

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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.