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Finding the Fourth Proportional to 20,201.78, 27,867.31 and 16,815.87

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Solution

The fourth proportional to 20,201.78, 27,867.31 and 16,815.87 is: 23,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.78 : 27,867.31 = 16,815.87 : x
  2. Step 2: Convert to fraction form
    20,201.78/27,867.31 = 16,815.87/x
  3. Step 3: Cross multiply
    20,201.78x = 27,867.31 × 16,815.87
  4. Step 4: Simplify right side
    20,201.78x = 468,613,020.17
  5. Step 5: Solve for x
    x = 468,613,020.17/20,201.78
  6. Step 6: Final answer
    x = 23,196.62

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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.