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Finding the Fourth Proportional to 17,194.92, 25,792 and 9,301.20

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Solution

The fourth proportional to 17,194.92, 25,792 and 9,301.20 is: 13,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,194.92 : 25,792 = 9,301.20 : x
  2. Step 2: Convert to fraction form
    17,194.92/25,792 = 9,301.20/x
  3. Step 3: Cross multiply
    17,194.92x = 25,792 × 9,301.20
  4. Step 4: Simplify right side
    17,194.92x = 239,896,550.40
  5. Step 5: Solve for x
    x = 239,896,550.40/17,194.92
  6. Step 6: Final answer
    x = 13,951.59

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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.