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Finding the Fourth Proportional to 13,202.25, 18,227.39 and 8,494.71

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Solution

The fourth proportional to 13,202.25, 18,227.39 and 8,494.71 is: 11,728.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.25 : 18,227.39 = 8,494.71 : x
  2. Step 2: Convert to fraction form
    13,202.25/18,227.39 = 8,494.71/x
  3. Step 3: Cross multiply
    13,202.25x = 18,227.39 × 8,494.71
  4. Step 4: Simplify right side
    13,202.25x = 154,836,392.11
  5. Step 5: Solve for x
    x = 154,836,392.11/13,202.25
  6. Step 6: Final answer
    x = 11,728.03

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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.