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Finding the Fourth Proportional to 17,524, 26,285.04 and 7,144.48

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Solution

The fourth proportional to 17,524, 26,285.04 and 7,144.48 is: 10,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524 : 26,285.04 = 7,144.48 : x
  2. Step 2: Convert to fraction form
    17,524/26,285.04 = 7,144.48/x
  3. Step 3: Cross multiply
    17,524x = 26,285.04 × 7,144.48
  4. Step 4: Simplify right side
    17,524x = 187,792,942.58
  5. Step 5: Solve for x
    x = 187,792,942.58/17,524
  6. Step 6: Final answer
    x = 10,716.33

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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.