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Finding the Fourth Proportional to 13,806.14, 20,705.73 and 3,945.47

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Solution

The fourth proportional to 13,806.14, 20,705.73 and 3,945.47 is: 5,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.14 : 20,705.73 = 3,945.47 : x
  2. Step 2: Convert to fraction form
    13,806.14/20,705.73 = 3,945.47/x
  3. Step 3: Cross multiply
    13,806.14x = 20,705.73 × 3,945.47
  4. Step 4: Simplify right side
    13,806.14x = 81,693,836.54
  5. Step 5: Solve for x
    x = 81,693,836.54/13,806.14
  6. Step 6: Final answer
    x = 5,917.21

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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.