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Finding the Fourth Proportional to 13,827.36, 20,754.41 and 13,078.11

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Solution

The fourth proportional to 13,827.36, 20,754.41 and 13,078.11 is: 19,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.36 : 20,754.41 = 13,078.11 : x
  2. Step 2: Convert to fraction form
    13,827.36/20,754.41 = 13,078.11/x
  3. Step 3: Cross multiply
    13,827.36x = 20,754.41 × 13,078.11
  4. Step 4: Simplify right side
    13,827.36x = 271,428,456.97
  5. Step 5: Solve for x
    x = 271,428,456.97/13,827.36
  6. Step 6: Final answer
    x = 19,629.81

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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.