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Finding the Fourth Proportional to 18,194.94, 27,299.09 and 7,667.61

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Solution

The fourth proportional to 18,194.94, 27,299.09 and 7,667.61 is: 11,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,194.94 : 27,299.09 = 7,667.61 : x
  2. Step 2: Convert to fraction form
    18,194.94/27,299.09 = 7,667.61/x
  3. Step 3: Cross multiply
    18,194.94x = 27,299.09 × 7,667.61
  4. Step 4: Simplify right side
    18,194.94x = 209,318,737.14
  5. Step 5: Solve for x
    x = 209,318,737.14/18,194.94
  6. Step 6: Final answer
    x = 11,504.23

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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.