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Finding the Fourth Proportional to 13,906.20, 20,859.30 and 8,077.80

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Solution

The fourth proportional to 13,906.20, 20,859.30 and 8,077.80 is: 12,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.20 : 20,859.30 = 8,077.80 : x
  2. Step 2: Convert to fraction form
    13,906.20/20,859.30 = 8,077.80/x
  3. Step 3: Cross multiply
    13,906.20x = 20,859.30 × 8,077.80
  4. Step 4: Simplify right side
    13,906.20x = 168,497,253.54
  5. Step 5: Solve for x
    x = 168,497,253.54/13,906.20
  6. Step 6: Final answer
    x = 12,116.70

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1.5x scale

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.