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Finding the Fourth Proportional to 13,211.82, 18,232.86 and 7,243.71

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Solution

The fourth proportional to 13,211.82, 18,232.86 and 7,243.71 is: 9,996.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.82 : 18,232.86 = 7,243.71 : x
  2. Step 2: Convert to fraction form
    13,211.82/18,232.86 = 7,243.71/x
  3. Step 3: Cross multiply
    13,211.82x = 18,232.86 × 7,243.71
  4. Step 4: Simplify right side
    13,211.82x = 132,073,514.09
  5. Step 5: Solve for x
    x = 132,073,514.09/13,211.82
  6. Step 6: Final answer
    x = 9,996.62

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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.