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Finding the Fourth Proportional to 17,149.73, 25,724.79 and 5,463.05

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Solution

The fourth proportional to 17,149.73, 25,724.79 and 5,463.05 is: 8,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,149.73 : 25,724.79 = 5,463.05 : x
  2. Step 2: Convert to fraction form
    17,149.73/25,724.79 = 5,463.05/x
  3. Step 3: Cross multiply
    17,149.73x = 25,724.79 × 5,463.05
  4. Step 4: Simplify right side
    17,149.73x = 140,535,685.39
  5. Step 5: Solve for x
    x = 140,535,685.39/17,149.73
  6. Step 6: Final answer
    x = 8,194.63

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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.