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Finding the Fourth Proportional to 13,028.82, 17,982.18 and 7,439.82

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Solution

The fourth proportional to 13,028.82, 17,982.18 and 7,439.82 is: 10,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028.82 : 17,982.18 = 7,439.82 : x
  2. Step 2: Convert to fraction form
    13,028.82/17,982.18 = 7,439.82/x
  3. Step 3: Cross multiply
    13,028.82x = 17,982.18 × 7,439.82
  4. Step 4: Simplify right side
    13,028.82x = 133,784,182.41
  5. Step 5: Solve for x
    x = 133,784,182.41/13,028.82
  6. Step 6: Final answer
    x = 10,268.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.