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Finding the Fourth Proportional to 18,382.75, 27,563.00 and 8,249.27

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Solution

The fourth proportional to 18,382.75, 27,563.00 and 8,249.27 is: 12,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,382.75 : 27,563.00 = 8,249.27 : x
  2. Step 2: Convert to fraction form
    18,382.75/27,563.00 = 8,249.27/x
  3. Step 3: Cross multiply
    18,382.75x = 27,563.00 × 8,249.27
  4. Step 4: Simplify right side
    18,382.75x = 227,374,674.59
  5. Step 5: Solve for x
    x = 227,374,674.59/18,382.75
  6. Step 6: Final answer
    x = 12,368.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.