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Finding the Fourth Proportional to 12,227.64, 18,344.30 and 3,906.51

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Solution

The fourth proportional to 12,227.64, 18,344.30 and 3,906.51 is: 5,860.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.64 : 18,344.30 = 3,906.51 : x
  2. Step 2: Convert to fraction form
    12,227.64/18,344.30 = 3,906.51/x
  3. Step 3: Cross multiply
    12,227.64x = 18,344.30 × 3,906.51
  4. Step 4: Simplify right side
    12,227.64x = 71,662,171.86
  5. Step 5: Solve for x
    x = 71,662,171.86/12,227.64
  6. Step 6: Final answer
    x = 5,860.67

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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.