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Finding the Fourth Proportional to 20,847.43, 31,277 and 8,376.21

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Solution

The fourth proportional to 20,847.43, 31,277 and 8,376.21 is: 12,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,847.43 : 31,277 = 8,376.21 : x
  2. Step 2: Convert to fraction form
    20,847.43/31,277 = 8,376.21/x
  3. Step 3: Cross multiply
    20,847.43x = 31,277 × 8,376.21
  4. Step 4: Simplify right side
    20,847.43x = 261,982,720.17
  5. Step 5: Solve for x
    x = 261,982,720.17/20,847.43
  6. Step 6: Final answer
    x = 12,566.67

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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.