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Finding the Fourth Proportional to 13,755.74, 18,976.83 and 8,163.50

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Solution

The fourth proportional to 13,755.74, 18,976.83 and 8,163.50 is: 11,262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.74 : 18,976.83 = 8,163.50 : x
  2. Step 2: Convert to fraction form
    13,755.74/18,976.83 = 8,163.50/x
  3. Step 3: Cross multiply
    13,755.74x = 18,976.83 × 8,163.50
  4. Step 4: Simplify right side
    13,755.74x = 154,917,351.71
  5. Step 5: Solve for x
    x = 154,917,351.71/13,755.74
  6. Step 6: Final answer
    x = 11,262.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.