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Finding the Fourth Proportional to 19,759.14, 27,266.94 and 11,797.20

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Solution

The fourth proportional to 19,759.14, 27,266.94 and 11,797.20 is: 16,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,759.14 : 27,266.94 = 11,797.20 : x
  2. Step 2: Convert to fraction form
    19,759.14/27,266.94 = 11,797.20/x
  3. Step 3: Cross multiply
    19,759.14x = 27,266.94 × 11,797.20
  4. Step 4: Simplify right side
    19,759.14x = 321,673,544.57
  5. Step 5: Solve for x
    x = 321,673,544.57/19,759.14
  6. Step 6: Final answer
    x = 16,279.73

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