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Finding the Fourth Proportional to 18,163.26, 27,263.97 and 16,096.50

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Solution

The fourth proportional to 18,163.26, 27,263.97 and 16,096.50 is: 24,161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,163.26 : 27,263.97 = 16,096.50 : x
  2. Step 2: Convert to fraction form
    18,163.26/27,263.97 = 16,096.50/x
  3. Step 3: Cross multiply
    18,163.26x = 27,263.97 × 16,096.50
  4. Step 4: Simplify right side
    18,163.26x = 438,854,493.11
  5. Step 5: Solve for x
    x = 438,854,493.11/18,163.26
  6. Step 6: Final answer
    x = 24,161.66

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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.