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Finding the Fourth Proportional to 13,821.94, 20,726.31 and 6,323.27

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Solution

The fourth proportional to 13,821.94, 20,726.31 and 6,323.27 is: 9,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.94 : 20,726.31 = 6,323.27 : x
  2. Step 2: Convert to fraction form
    13,821.94/20,726.31 = 6,323.27/x
  3. Step 3: Cross multiply
    13,821.94x = 20,726.31 × 6,323.27
  4. Step 4: Simplify right side
    13,821.94x = 131,057,974.31
  5. Step 5: Solve for x
    x = 131,057,974.31/13,821.94
  6. Step 6: Final answer
    x = 9,481.88

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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.