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Finding the Fourth Proportional to 18,511.78, 27,767.10 and 8,123.56

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Solution

The fourth proportional to 18,511.78, 27,767.10 and 8,123.56 is: 12,185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,511.78 : 27,767.10 = 8,123.56 : x
  2. Step 2: Convert to fraction form
    18,511.78/27,767.10 = 8,123.56/x
  3. Step 3: Cross multiply
    18,511.78x = 27,767.10 × 8,123.56
  4. Step 4: Simplify right side
    18,511.78x = 225,567,702.88
  5. Step 5: Solve for x
    x = 225,567,702.88/18,511.78
  6. Step 6: Final answer
    x = 12,185.09

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