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Finding the Fourth Proportional to 13,738.80, 20,601.72 and 7,163.76

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Solution

The fourth proportional to 13,738.80, 20,601.72 and 7,163.76 is: 10,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.80 : 20,601.72 = 7,163.76 : x
  2. Step 2: Convert to fraction form
    13,738.80/20,601.72 = 7,163.76/x
  3. Step 3: Cross multiply
    13,738.80x = 20,601.72 × 7,163.76
  4. Step 4: Simplify right side
    13,738.80x = 147,585,777.67
  5. Step 5: Solve for x
    x = 147,585,777.67/13,738.80
  6. Step 6: Final answer
    x = 10,742.26

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