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Finding the Fourth Proportional to 20,891.62, 31,308.99 and 11,517.58

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Solution

The fourth proportional to 20,891.62, 31,308.99 and 11,517.58 is: 17,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,891.62 : 31,308.99 = 11,517.58 : x
  2. Step 2: Convert to fraction form
    20,891.62/31,308.99 = 11,517.58/x
  3. Step 3: Cross multiply
    20,891.62x = 31,308.99 × 11,517.58
  4. Step 4: Simplify right side
    20,891.62x = 360,603,797.04
  5. Step 5: Solve for x
    x = 360,603,797.04/20,891.62
  6. Step 6: Final answer
    x = 17,260.69

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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.