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Finding the Fourth Proportional to 18,585.72, 27,882.02 and 6,109.29

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Solution

The fourth proportional to 18,585.72, 27,882.02 and 6,109.29 is: 9,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585.72 : 27,882.02 = 6,109.29 : x
  2. Step 2: Convert to fraction form
    18,585.72/27,882.02 = 6,109.29/x
  3. Step 3: Cross multiply
    18,585.72x = 27,882.02 × 6,109.29
  4. Step 4: Simplify right side
    18,585.72x = 170,339,361.24
  5. Step 5: Solve for x
    x = 170,339,361.24/18,585.72
  6. Step 6: Final answer
    x = 9,165.07

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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.