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Finding the Fourth Proportional to 13,729.50, 20,593.35 and 7,159.41

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Solution

The fourth proportional to 13,729.50, 20,593.35 and 7,159.41 is: 10,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.50 : 20,593.35 = 7,159.41 : x
  2. Step 2: Convert to fraction form
    13,729.50/20,593.35 = 7,159.41/x
  3. Step 3: Cross multiply
    13,729.50x = 20,593.35 × 7,159.41
  4. Step 4: Simplify right side
    13,729.50x = 147,436,235.92
  5. Step 5: Solve for x
    x = 147,436,235.92/13,729.50
  6. Step 6: Final answer
    x = 10,738.65

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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.