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Finding the Fourth Proportional to 18,211.50, 27,282.29 and 11,170.98

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Solution

The fourth proportional to 18,211.50, 27,282.29 and 11,170.98 is: 16,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,211.50 : 27,282.29 = 11,170.98 : x
  2. Step 2: Convert to fraction form
    18,211.50/27,282.29 = 11,170.98/x
  3. Step 3: Cross multiply
    18,211.50x = 27,282.29 × 11,170.98
  4. Step 4: Simplify right side
    18,211.50x = 304,769,860.09
  5. Step 5: Solve for x
    x = 304,769,860.09/18,211.50
  6. Step 6: Final answer
    x = 16,735.02

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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.