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Finding the Fourth Proportional to 17,033.92, 25,542.24 and 7,792

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Solution

The fourth proportional to 17,033.92, 25,542.24 and 7,792 is: 11,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,033.92 : 25,542.24 = 7,792 : x
  2. Step 2: Convert to fraction form
    17,033.92/25,542.24 = 7,792/x
  3. Step 3: Cross multiply
    17,033.92x = 25,542.24 × 7,792
  4. Step 4: Simplify right side
    17,033.92x = 199,025,134.08
  5. Step 5: Solve for x
    x = 199,025,134.08/17,033.92
  6. Step 6: Final answer
    x = 11,684.05

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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.