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Finding the Fourth Proportional to 13,757.70, 20,629.62 and 6,738.24

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Solution

The fourth proportional to 13,757.70, 20,629.62 and 6,738.24 is: 10,103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.70 : 20,629.62 = 6,738.24 : x
  2. Step 2: Convert to fraction form
    13,757.70/20,629.62 = 6,738.24/x
  3. Step 3: Cross multiply
    13,757.70x = 20,629.62 × 6,738.24
  4. Step 4: Simplify right side
    13,757.70x = 139,007,330.67
  5. Step 5: Solve for x
    x = 139,007,330.67/13,757.70
  6. Step 6: Final answer
    x = 10,103.97

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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.