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Finding the Fourth Proportional to 17,243.73, 25,857.41 and 7,880.97

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Solution

The fourth proportional to 17,243.73, 25,857.41 and 7,880.97 is: 11,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,243.73 : 25,857.41 = 7,880.97 : x
  2. Step 2: Convert to fraction form
    17,243.73/25,857.41 = 7,880.97/x
  3. Step 3: Cross multiply
    17,243.73x = 25,857.41 × 7,880.97
  4. Step 4: Simplify right side
    17,243.73x = 203,781,433.08
  5. Step 5: Solve for x
    x = 203,781,433.08/17,243.73
  6. Step 6: Final answer
    x = 11,817.71

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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.