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Finding the Fourth Proportional to 20,195.84, 27,874.56 and 13,568

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Solution

The fourth proportional to 20,195.84, 27,874.56 and 13,568 is: 18,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195.84 : 27,874.56 = 13,568 : x
  2. Step 2: Convert to fraction form
    20,195.84/27,874.56 = 13,568/x
  3. Step 3: Cross multiply
    20,195.84x = 27,874.56 × 13,568
  4. Step 4: Simplify right side
    20,195.84x = 378,202,030.08
  5. Step 5: Solve for x
    x = 378,202,030.08/20,195.84
  6. Step 6: Final answer
    x = 18,726.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.