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Finding the Fourth Proportional to 18,201.60, 27,286.20 and 16,233.30

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Solution

The fourth proportional to 18,201.60, 27,286.20 and 16,233.30 is: 24,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,201.60 : 27,286.20 = 16,233.30 : x
  2. Step 2: Convert to fraction form
    18,201.60/27,286.20 = 16,233.30/x
  3. Step 3: Cross multiply
    18,201.60x = 27,286.20 × 16,233.30
  4. Step 4: Simplify right side
    18,201.60x = 442,945,070.46
  5. Step 5: Solve for x
    x = 442,945,070.46/18,201.60
  6. Step 6: Final answer
    x = 24,335.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.