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Finding the Fourth Proportional to 11,859.23, 16,367.30 and 11,469.78

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Solution

The fourth proportional to 11,859.23, 16,367.30 and 11,469.78 is: 15,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.23 : 16,367.30 = 11,469.78 : x
  2. Step 2: Convert to fraction form
    11,859.23/16,367.30 = 11,469.78/x
  3. Step 3: Cross multiply
    11,859.23x = 16,367.30 × 11,469.78
  4. Step 4: Simplify right side
    11,859.23x = 187,729,272.85
  5. Step 5: Solve for x
    x = 187,729,272.85/11,859.23
  6. Step 6: Final answer
    x = 15,829.81

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