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Finding the Fourth Proportional to 18,569.25, 27,855.09 and 8,181

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Solution

The fourth proportional to 18,569.25, 27,855.09 and 8,181 is: 12,272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,569.25 : 27,855.09 = 8,181 : x
  2. Step 2: Convert to fraction form
    18,569.25/27,855.09 = 8,181/x
  3. Step 3: Cross multiply
    18,569.25x = 27,855.09 × 8,181
  4. Step 4: Simplify right side
    18,569.25x = 227,882,491.29
  5. Step 5: Solve for x
    x = 227,882,491.29/18,569.25
  6. Step 6: Final answer
    x = 12,272.04

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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.