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Finding the Fourth Proportional to 13,209.97, 18,229.78 and 7,241.86

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Solution

The fourth proportional to 13,209.97, 18,229.78 and 7,241.86 is: 9,993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.97 : 18,229.78 = 7,241.86 : x
  2. Step 2: Convert to fraction form
    13,209.97/18,229.78 = 7,241.86/x
  3. Step 3: Cross multiply
    13,209.97x = 18,229.78 × 7,241.86
  4. Step 4: Simplify right side
    13,209.97x = 132,017,387.23
  5. Step 5: Solve for x
    x = 132,017,387.23/13,209.97
  6. Step 6: Final answer
    x = 9,993.77

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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.