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Finding the Fourth Proportional to 13,755.24, 18,976.14 and 8,163

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Solution

The fourth proportional to 13,755.24, 18,976.14 and 8,163 is: 11,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.24 : 18,976.14 = 8,163 : x
  2. Step 2: Convert to fraction form
    13,755.24/18,976.14 = 8,163/x
  3. Step 3: Cross multiply
    13,755.24x = 18,976.14 × 8,163
  4. Step 4: Simplify right side
    13,755.24x = 154,902,230.82
  5. Step 5: Solve for x
    x = 154,902,230.82/13,755.24
  6. Step 6: Final answer
    x = 11,261.33

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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.