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Finding the Fourth Proportional to 13,777.96, 20,667.06 and 3,917.56

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Solution

The fourth proportional to 13,777.96, 20,667.06 and 3,917.56 is: 5,876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.96 : 20,667.06 = 3,917.56 : x
  2. Step 2: Convert to fraction form
    13,777.96/20,667.06 = 3,917.56/x
  3. Step 3: Cross multiply
    13,777.96x = 20,667.06 × 3,917.56
  4. Step 4: Simplify right side
    13,777.96x = 80,964,447.57
  5. Step 5: Solve for x
    x = 80,964,447.57/13,777.96
  6. Step 6: Final answer
    x = 5,876.37

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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.