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Finding the Fourth Proportional to 17,149.34, 23,655.49 and 11,769.32

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Solution

The fourth proportional to 17,149.34, 23,655.49 and 11,769.32 is: 16,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,149.34 : 23,655.49 = 11,769.32 : x
  2. Step 2: Convert to fraction form
    17,149.34/23,655.49 = 11,769.32/x
  3. Step 3: Cross multiply
    17,149.34x = 23,655.49 × 11,769.32
  4. Step 4: Simplify right side
    17,149.34x = 278,408,883.87
  5. Step 5: Solve for x
    x = 278,408,883.87/17,149.34
  6. Step 6: Final answer
    x = 16,234.38

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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.