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Finding the Fourth Proportional to 17,230.38, 23,786.97 and 11,594.76

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Solution

The fourth proportional to 17,230.38, 23,786.97 and 11,594.76 is: 16,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,230.38 : 23,786.97 = 11,594.76 : x
  2. Step 2: Convert to fraction form
    17,230.38/23,786.97 = 11,594.76/x
  3. Step 3: Cross multiply
    17,230.38x = 23,786.97 × 11,594.76
  4. Step 4: Simplify right side
    17,230.38x = 275,804,208.28
  5. Step 5: Solve for x
    x = 275,804,208.28/17,230.38
  6. Step 6: Final answer
    x = 16,006.86

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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.