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Finding the Fourth Proportional to 13,202.39, 18,219.72 and 7,234.44

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Solution

The fourth proportional to 13,202.39, 18,219.72 and 7,234.44 is: 9,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.39 : 18,219.72 = 7,234.44 : x
  2. Step 2: Convert to fraction form
    13,202.39/18,219.72 = 7,234.44/x
  3. Step 3: Cross multiply
    13,202.39x = 18,219.72 × 7,234.44
  4. Step 4: Simplify right side
    13,202.39x = 131,809,389.27
  5. Step 5: Solve for x
    x = 131,809,389.27/13,202.39
  6. Step 6: Final answer
    x = 9,983.75

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Why These Related Problems?

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