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Finding the Fourth Proportional to 13,685.97, 18,885.63 and 8,020.38

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Solution

The fourth proportional to 13,685.97, 18,885.63 and 8,020.38 is: 11,067.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.97 : 18,885.63 = 8,020.38 : x
  2. Step 2: Convert to fraction form
    13,685.97/18,885.63 = 8,020.38/x
  3. Step 3: Cross multiply
    13,685.97x = 18,885.63 × 8,020.38
  4. Step 4: Simplify right side
    13,685.97x = 151,469,929.14
  5. Step 5: Solve for x
    x = 151,469,929.14/13,685.97
  6. Step 6: Final answer
    x = 11,067.53

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Why These Related Problems?

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