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Finding the Fourth Proportional to 17,251, 23,806.92 and 10,183.48

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Solution

The fourth proportional to 17,251, 23,806.92 and 10,183.48 is: 14,053.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,251 : 23,806.92 = 10,183.48 : x
  2. Step 2: Convert to fraction form
    17,251/23,806.92 = 10,183.48/x
  3. Step 3: Cross multiply
    17,251x = 23,806.92 × 10,183.48
  4. Step 4: Simplify right side
    17,251x = 242,437,293.68
  5. Step 5: Solve for x
    x = 242,437,293.68/17,251
  6. Step 6: Final answer
    x = 14,053.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.