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Finding the Fourth Proportional to 13,874.92, 20,806.20 and 4,011.86

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Solution

The fourth proportional to 13,874.92, 20,806.20 and 4,011.86 is: 6,016.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.92 : 20,806.20 = 4,011.86 : x
  2. Step 2: Convert to fraction form
    13,874.92/20,806.20 = 4,011.86/x
  3. Step 3: Cross multiply
    13,874.92x = 20,806.20 × 4,011.86
  4. Step 4: Simplify right side
    13,874.92x = 83,471,613.55
  5. Step 5: Solve for x
    x = 83,471,613.55/13,874.92
  6. Step 6: Final answer
    x = 6,016.01

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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.