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Finding the Fourth Proportional to 20,642.21, 30,977.90 and 8,162.64

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Solution

The fourth proportional to 20,642.21, 30,977.90 and 8,162.64 is: 12,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.21 : 30,977.90 = 8,162.64 : x
  2. Step 2: Convert to fraction form
    20,642.21/30,977.90 = 8,162.64/x
  3. Step 3: Cross multiply
    20,642.21x = 30,977.90 × 8,162.64
  4. Step 4: Simplify right side
    20,642.21x = 252,861,404.84
  5. Step 5: Solve for x
    x = 252,861,404.84/20,642.21
  6. Step 6: Final answer
    x = 12,249.73

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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.