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Finding the Fourth Proportional to 12,209.64, 18,314.26 and 3,889.52

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Solution

The fourth proportional to 12,209.64, 18,314.26 and 3,889.52 is: 5,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.64 : 18,314.26 = 3,889.52 : x
  2. Step 2: Convert to fraction form
    12,209.64/18,314.26 = 3,889.52/x
  3. Step 3: Cross multiply
    12,209.64x = 18,314.26 × 3,889.52
  4. Step 4: Simplify right side
    12,209.64x = 71,233,680.56
  5. Step 5: Solve for x
    x = 71,233,680.56/12,209.64
  6. Step 6: Final answer
    x = 5,834.22

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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.