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Finding the Fourth Proportional to 20,033.30, 27,668.65 and 13,648.82

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Solution

The fourth proportional to 20,033.30, 27,668.65 and 13,648.82 is: 18,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,033.30 : 27,668.65 = 13,648.82 : x
  2. Step 2: Convert to fraction form
    20,033.30/27,668.65 = 13,648.82/x
  3. Step 3: Cross multiply
    20,033.30x = 27,668.65 × 13,648.82
  4. Step 4: Simplify right side
    20,033.30x = 377,644,251.03
  5. Step 5: Solve for x
    x = 377,644,251.03/20,033.30
  6. Step 6: Final answer
    x = 18,850.82

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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.