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Finding the Fourth Proportional to 18,172.63, 27,231.11 and 12,227.48

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Solution

The fourth proportional to 18,172.63, 27,231.11 and 12,227.48 is: 18,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,172.63 : 27,231.11 = 12,227.48 : x
  2. Step 2: Convert to fraction form
    18,172.63/27,231.11 = 12,227.48/x
  3. Step 3: Cross multiply
    18,172.63x = 27,231.11 × 12,227.48
  4. Step 4: Simplify right side
    18,172.63x = 332,967,914.56
  5. Step 5: Solve for x
    x = 332,967,914.56/18,172.63
  6. Step 6: Final answer
    x = 18,322.50

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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.