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Finding the Fourth Proportional to 27,535.68, 41,251.68 and 13,694.40

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Solution

The fourth proportional to 27,535.68, 41,251.68 and 13,694.40 is: 20,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,535.68 : 41,251.68 = 13,694.40 : x
  2. Step 2: Convert to fraction form
    27,535.68/41,251.68 = 13,694.40/x
  3. Step 3: Cross multiply
    27,535.68x = 41,251.68 × 13,694.40
  4. Step 4: Simplify right side
    27,535.68x = 564,917,006.59
  5. Step 5: Solve for x
    x = 564,917,006.59/27,535.68
  6. Step 6: Final answer
    x = 20,515.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.