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Finding the Fourth Proportional to 12,209.49, 18,314.24 and 3,889.53

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Solution

The fourth proportional to 12,209.49, 18,314.24 and 3,889.53 is: 5,834.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.49 : 18,314.24 = 3,889.53 : x
  2. Step 2: Convert to fraction form
    12,209.49/18,314.24 = 3,889.53/x
  3. Step 3: Cross multiply
    12,209.49x = 18,314.24 × 3,889.53
  4. Step 4: Simplify right side
    12,209.49x = 71,233,766.46
  5. Step 5: Solve for x
    x = 71,233,766.46/12,209.49
  6. Step 6: Final answer
    x = 5,834.30

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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.