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Finding the Fourth Proportional to 18,633.50, 27,943.48 and 10,206.27

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Solution

The fourth proportional to 18,633.50, 27,943.48 and 10,206.27 is: 15,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,633.50 : 27,943.48 = 10,206.27 : x
  2. Step 2: Convert to fraction form
    18,633.50/27,943.48 = 10,206.27/x
  3. Step 3: Cross multiply
    18,633.50x = 27,943.48 × 10,206.27
  4. Step 4: Simplify right side
    18,633.50x = 285,198,701.62
  5. Step 5: Solve for x
    x = 285,198,701.62/18,633.50
  6. Step 6: Final answer
    x = 15,305.70

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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.