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Finding the Fourth Proportional to 18,641.97, 27,917.49 and 14,194.84

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Solution

The fourth proportional to 18,641.97, 27,917.49 and 14,194.84 is: 21,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641.97 : 27,917.49 = 14,194.84 : x
  2. Step 2: Convert to fraction form
    18,641.97/27,917.49 = 14,194.84/x
  3. Step 3: Cross multiply
    18,641.97x = 27,917.49 × 14,194.84
  4. Step 4: Simplify right side
    18,641.97x = 396,284,303.75
  5. Step 5: Solve for x
    x = 396,284,303.75/18,641.97
  6. Step 6: Final answer
    x = 21,257.64

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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.