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Finding the Fourth Proportional to 13,729.50, 20,534.88 and 8,093.80

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Solution

The fourth proportional to 13,729.50, 20,534.88 and 8,093.80 is: 12,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.50 : 20,534.88 = 8,093.80 : x
  2. Step 2: Convert to fraction form
    13,729.50/20,534.88 = 8,093.80/x
  3. Step 3: Cross multiply
    13,729.50x = 20,534.88 × 8,093.80
  4. Step 4: Simplify right side
    13,729.50x = 166,205,211.74
  5. Step 5: Solve for x
    x = 166,205,211.74/13,729.50
  6. Step 6: Final answer
    x = 12,105.70

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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.