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Finding the Fourth Proportional to 13,189.82, 18,202.38 and 7,221.92

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Solution

The fourth proportional to 13,189.82, 18,202.38 and 7,221.92 is: 9,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.82 : 18,202.38 = 7,221.92 : x
  2. Step 2: Convert to fraction form
    13,189.82/18,202.38 = 7,221.92/x
  3. Step 3: Cross multiply
    13,189.82x = 18,202.38 × 7,221.92
  4. Step 4: Simplify right side
    13,189.82x = 131,456,132.17
  5. Step 5: Solve for x
    x = 131,456,132.17/13,189.82
  6. Step 6: Final answer
    x = 9,966.48

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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.