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Finding the Fourth Proportional to 13,834.40, 20,773.20 and 8,002.40

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Solution

The fourth proportional to 13,834.40, 20,773.20 and 8,002.40 is: 12,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834.40 : 20,773.20 = 8,002.40 : x
  2. Step 2: Convert to fraction form
    13,834.40/20,773.20 = 8,002.40/x
  3. Step 3: Cross multiply
    13,834.40x = 20,773.20 × 8,002.40
  4. Step 4: Simplify right side
    13,834.40x = 166,235,455.68
  5. Step 5: Solve for x
    x = 166,235,455.68/13,834.40
  6. Step 6: Final answer
    x = 12,016.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.