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Finding the Fourth Proportional to 18,144.29, 27,216.43 and 5,665.38

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Solution

The fourth proportional to 18,144.29, 27,216.43 and 5,665.38 is: 8,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,144.29 : 27,216.43 = 5,665.38 : x
  2. Step 2: Convert to fraction form
    18,144.29/27,216.43 = 5,665.38/x
  3. Step 3: Cross multiply
    18,144.29x = 27,216.43 × 5,665.38
  4. Step 4: Simplify right side
    18,144.29x = 154,191,439.44
  5. Step 5: Solve for x
    x = 154,191,439.44/18,144.29
  6. Step 6: Final answer
    x = 8,498.07

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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.