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Finding the Fourth Proportional to 13,869.06, 20,786.31 and 6,945.54

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Solution

The fourth proportional to 13,869.06, 20,786.31 and 6,945.54 is: 10,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869.06 : 20,786.31 = 6,945.54 : x
  2. Step 2: Convert to fraction form
    13,869.06/20,786.31 = 6,945.54/x
  3. Step 3: Cross multiply
    13,869.06x = 20,786.31 × 6,945.54
  4. Step 4: Simplify right side
    13,869.06x = 144,372,147.56
  5. Step 5: Solve for x
    x = 144,372,147.56/13,869.06
  6. Step 6: Final answer
    x = 10,409.66

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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.