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Finding the Fourth Proportional to 18,614.70, 27,922.50 and 5,467.49

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Solution

The fourth proportional to 18,614.70, 27,922.50 and 5,467.49 is: 8,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,614.70 : 27,922.50 = 5,467.49 : x
  2. Step 2: Convert to fraction form
    18,614.70/27,922.50 = 5,467.49/x
  3. Step 3: Cross multiply
    18,614.70x = 27,922.50 × 5,467.49
  4. Step 4: Simplify right side
    18,614.70x = 152,665,849.91
  5. Step 5: Solve for x
    x = 152,665,849.91/18,614.70
  6. Step 6: Final answer
    x = 8,201.36

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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.