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Finding the Fourth Proportional to 18,382.56, 27,576.57 and 8,522.83

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Solution

The fourth proportional to 18,382.56, 27,576.57 and 8,522.83 is: 12,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,382.56 : 27,576.57 = 8,522.83 : x
  2. Step 2: Convert to fraction form
    18,382.56/27,576.57 = 8,522.83/x
  3. Step 3: Cross multiply
    18,382.56x = 27,576.57 × 8,522.83
  4. Step 4: Simplify right side
    18,382.56x = 235,030,418.09
  5. Step 5: Solve for x
    x = 235,030,418.09/18,382.56
  6. Step 6: Final answer
    x = 12,785.51

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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.