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Finding the Fourth Proportional to 18,511.80, 27,767.70 and 8,123.55

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Solution

The fourth proportional to 18,511.80, 27,767.70 and 8,123.55 is: 12,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,511.80 : 27,767.70 = 8,123.55 : x
  2. Step 2: Convert to fraction form
    18,511.80/27,767.70 = 8,123.55/x
  3. Step 3: Cross multiply
    18,511.80x = 27,767.70 × 8,123.55
  4. Step 4: Simplify right side
    18,511.80x = 225,572,299.34
  5. Step 5: Solve for x
    x = 225,572,299.34/18,511.80
  6. Step 6: Final answer
    x = 12,185.33

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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.