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Finding the Fourth Proportional to 13,211.69, 18,231.80 and 7,243.20

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Solution

The fourth proportional to 13,211.69, 18,231.80 and 7,243.20 is: 9,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.69 : 18,231.80 = 7,243.20 : x
  2. Step 2: Convert to fraction form
    13,211.69/18,231.80 = 7,243.20/x
  3. Step 3: Cross multiply
    13,211.69x = 18,231.80 × 7,243.20
  4. Step 4: Simplify right side
    13,211.69x = 132,056,537.54
  5. Step 5: Solve for x
    x = 132,056,537.54/13,211.69
  6. Step 6: Final answer
    x = 9,995.43

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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.