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Finding the Fourth Proportional to 27,944.38, 38,568.72 and 16,015.71

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Solution

The fourth proportional to 27,944.38, 38,568.72 and 16,015.71 is: 22,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,944.38 : 38,568.72 = 16,015.71 : x
  2. Step 2: Convert to fraction form
    27,944.38/38,568.72 = 16,015.71/x
  3. Step 3: Cross multiply
    27,944.38x = 38,568.72 × 16,015.71
  4. Step 4: Simplify right side
    27,944.38x = 617,705,434.59
  5. Step 5: Solve for x
    x = 617,705,434.59/27,944.38
  6. Step 6: Final answer
    x = 22,104.82

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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.