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Finding the Fourth Proportional to 17,013.16, 25,523.82 and 8,237.82

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Solution

The fourth proportional to 17,013.16, 25,523.82 and 8,237.82 is: 12,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,013.16 : 25,523.82 = 8,237.82 : x
  2. Step 2: Convert to fraction form
    17,013.16/25,523.82 = 8,237.82/x
  3. Step 3: Cross multiply
    17,013.16x = 25,523.82 × 8,237.82
  4. Step 4: Simplify right side
    17,013.16x = 210,260,634.87
  5. Step 5: Solve for x
    x = 210,260,634.87/17,013.16
  6. Step 6: Final answer
    x = 12,358.71

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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.