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Finding the Fourth Proportional to 20,976.96, 31,476.39 and 8,506.20

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Solution

The fourth proportional to 20,976.96, 31,476.39 and 8,506.20 is: 12,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,976.96 : 31,476.39 = 8,506.20 : x
  2. Step 2: Convert to fraction form
    20,976.96/31,476.39 = 8,506.20/x
  3. Step 3: Cross multiply
    20,976.96x = 31,476.39 × 8,506.20
  4. Step 4: Simplify right side
    20,976.96x = 267,744,468.62
  5. Step 5: Solve for x
    x = 267,744,468.62/20,976.96
  6. Step 6: Final answer
    x = 12,763.74

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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.