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Finding the Fourth Proportional to 18,668.13, 27,993.38 and 6,813.68

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Solution

The fourth proportional to 18,668.13, 27,993.38 and 6,813.68 is: 10,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,668.13 : 27,993.38 = 6,813.68 : x
  2. Step 2: Convert to fraction form
    18,668.13/27,993.38 = 6,813.68/x
  3. Step 3: Cross multiply
    18,668.13x = 27,993.38 × 6,813.68
  4. Step 4: Simplify right side
    18,668.13x = 190,737,759.40
  5. Step 5: Solve for x
    x = 190,737,759.40/18,668.13
  6. Step 6: Final answer
    x = 10,217.30

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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.