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Finding the Fourth Proportional to 13,204.62, 18,221.94 and 7,236.23

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Solution

The fourth proportional to 13,204.62, 18,221.94 and 7,236.23 is: 9,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.62 : 18,221.94 = 7,236.23 : x
  2. Step 2: Convert to fraction form
    13,204.62/18,221.94 = 7,236.23/x
  3. Step 3: Cross multiply
    13,204.62x = 18,221.94 × 7,236.23
  4. Step 4: Simplify right side
    13,204.62x = 131,858,057.78
  5. Step 5: Solve for x
    x = 131,858,057.78/13,204.62
  6. Step 6: Final answer
    x = 9,985.75

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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.