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Finding the Fourth Proportional to 12,211.49, 18,317.24 and 3,891.53

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Solution

The fourth proportional to 12,211.49, 18,317.24 and 3,891.53 is: 5,837.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.49 : 18,317.24 = 3,891.53 : x
  2. Step 2: Convert to fraction form
    12,211.49/18,317.24 = 3,891.53/x
  3. Step 3: Cross multiply
    12,211.49x = 18,317.24 × 3,891.53
  4. Step 4: Simplify right side
    12,211.49x = 71,282,088.98
  5. Step 5: Solve for x
    x = 71,282,088.98/12,211.49
  6. Step 6: Final answer
    x = 5,837.30

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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.