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Finding the Fourth Proportional to 13,183.72, 19,778.46 and 3,949

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Solution

The fourth proportional to 13,183.72, 19,778.46 and 3,949 is: 5,924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.72 : 19,778.46 = 3,949 : x
  2. Step 2: Convert to fraction form
    13,183.72/19,778.46 = 3,949/x
  3. Step 3: Cross multiply
    13,183.72x = 19,778.46 × 3,949
  4. Step 4: Simplify right side
    13,183.72x = 78,105,138.54
  5. Step 5: Solve for x
    x = 78,105,138.54/13,183.72
  6. Step 6: Final answer
    x = 5,924.36

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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.