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Finding the Fourth Proportional to 13,760.82, 18,991.17 and 7,793.94

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Solution

The fourth proportional to 13,760.82, 18,991.17 and 7,793.94 is: 10,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.82 : 18,991.17 = 7,793.94 : x
  2. Step 2: Convert to fraction form
    13,760.82/18,991.17 = 7,793.94/x
  3. Step 3: Cross multiply
    13,760.82x = 18,991.17 × 7,793.94
  4. Step 4: Simplify right side
    13,760.82x = 148,016,039.51
  5. Step 5: Solve for x
    x = 148,016,039.51/13,760.82
  6. Step 6: Final answer
    x = 10,756.34

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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.