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Finding the Fourth Proportional to 12,289.44, 18,433.89 and 3,524.43

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Solution

The fourth proportional to 12,289.44, 18,433.89 and 3,524.43 is: 5,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.44 : 18,433.89 = 3,524.43 : x
  2. Step 2: Convert to fraction form
    12,289.44/18,433.89 = 3,524.43/x
  3. Step 3: Cross multiply
    12,289.44x = 18,433.89 × 3,524.43
  4. Step 4: Simplify right side
    12,289.44x = 64,968,954.93
  5. Step 5: Solve for x
    x = 64,968,954.93/12,289.44
  6. Step 6: Final answer
    x = 5,286.57

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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.