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Finding the Fourth Proportional to 13,876.20, 20,771.10 and 8,015.40

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Solution

The fourth proportional to 13,876.20, 20,771.10 and 8,015.40 is: 11,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.20 : 20,771.10 = 8,015.40 : x
  2. Step 2: Convert to fraction form
    13,876.20/20,771.10 = 8,015.40/x
  3. Step 3: Cross multiply
    13,876.20x = 20,771.10 × 8,015.40
  4. Step 4: Simplify right side
    13,876.20x = 166,488,674.94
  5. Step 5: Solve for x
    x = 166,488,674.94/13,876.20
  6. Step 6: Final answer
    x = 11,998.15

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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.