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Finding the Fourth Proportional to 18,229, 27,346.14 and 5,744.80

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Solution

The fourth proportional to 18,229, 27,346.14 and 5,744.80 is: 8,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,229 : 27,346.14 = 5,744.80 : x
  2. Step 2: Convert to fraction form
    18,229/27,346.14 = 5,744.80/x
  3. Step 3: Cross multiply
    18,229x = 27,346.14 × 5,744.80
  4. Step 4: Simplify right side
    18,229x = 157,098,105.07
  5. Step 5: Solve for x
    x = 157,098,105.07/18,229
  6. Step 6: Final answer
    x = 8,618.03

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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.