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Finding the Fourth Proportional to 17,183.68, 25,778.76 and 6,796.24

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Solution

The fourth proportional to 17,183.68, 25,778.76 and 6,796.24 is: 10,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,183.68 : 25,778.76 = 6,796.24 : x
  2. Step 2: Convert to fraction form
    17,183.68/25,778.76 = 6,796.24/x
  3. Step 3: Cross multiply
    17,183.68x = 25,778.76 × 6,796.24
  4. Step 4: Simplify right side
    17,183.68x = 175,198,639.86
  5. Step 5: Solve for x
    x = 175,198,639.86/17,183.68
  6. Step 6: Final answer
    x = 10,195.64

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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.