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Finding the Fourth Proportional to 18,555.75, 27,837.27 and 8,167.50

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Solution

The fourth proportional to 18,555.75, 27,837.27 and 8,167.50 is: 12,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,555.75 : 27,837.27 = 8,167.50 : x
  2. Step 2: Convert to fraction form
    18,555.75/27,837.27 = 8,167.50/x
  3. Step 3: Cross multiply
    18,555.75x = 27,837.27 × 8,167.50
  4. Step 4: Simplify right side
    18,555.75x = 227,360,902.73
  5. Step 5: Solve for x
    x = 227,360,902.73/18,555.75
  6. Step 6: Final answer
    x = 12,252.85

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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.