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Finding the Fourth Proportional to 20,154.38, 27,797.90 and 14,187.74

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Solution

The fourth proportional to 20,154.38, 27,797.90 and 14,187.74 is: 19,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154.38 : 27,797.90 = 14,187.74 : x
  2. Step 2: Convert to fraction form
    20,154.38/27,797.90 = 14,187.74/x
  3. Step 3: Cross multiply
    20,154.38x = 27,797.90 × 14,187.74
  4. Step 4: Simplify right side
    20,154.38x = 394,389,377.75
  5. Step 5: Solve for x
    x = 394,389,377.75/20,154.38
  6. Step 6: Final answer
    x = 19,568.42

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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.