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Finding the Fourth Proportional to 13,865.49, 19,138.30 and 8,202.21

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Solution

The fourth proportional to 13,865.49, 19,138.30 and 8,202.21 is: 11,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.49 : 19,138.30 = 8,202.21 : x
  2. Step 2: Convert to fraction form
    13,865.49/19,138.30 = 8,202.21/x
  3. Step 3: Cross multiply
    13,865.49x = 19,138.30 × 8,202.21
  4. Step 4: Simplify right side
    13,865.49x = 156,976,286.44
  5. Step 5: Solve for x
    x = 156,976,286.44/13,865.49
  6. Step 6: Final answer
    x = 11,321.37

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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.