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Finding the Fourth Proportional to 12,211.68, 18,317.70 and 3,891.69

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Solution

The fourth proportional to 12,211.68, 18,317.70 and 3,891.69 is: 5,837.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.68 : 18,317.70 = 3,891.69 : x
  2. Step 2: Convert to fraction form
    12,211.68/18,317.70 = 3,891.69/x
  3. Step 3: Cross multiply
    12,211.68x = 18,317.70 × 3,891.69
  4. Step 4: Simplify right side
    12,211.68x = 71,286,809.91
  5. Step 5: Solve for x
    x = 71,286,809.91/12,211.68
  6. Step 6: Final answer
    x = 5,837.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.