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Finding the Fourth Proportional to 13,806.09, 20,709.27 and 3,945.30

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Solution

The fourth proportional to 13,806.09, 20,709.27 and 3,945.30 is: 5,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.09 : 20,709.27 = 3,945.30 : x
  2. Step 2: Convert to fraction form
    13,806.09/20,709.27 = 3,945.30/x
  3. Step 3: Cross multiply
    13,806.09x = 20,709.27 × 3,945.30
  4. Step 4: Simplify right side
    13,806.09x = 81,704,282.93
  5. Step 5: Solve for x
    x = 81,704,282.93/13,806.09
  6. Step 6: Final answer
    x = 5,917.99

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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.