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Finding the Fourth Proportional to 12,447.26, 18,674.53 and 3,682.40

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Solution

The fourth proportional to 12,447.26, 18,674.53 and 3,682.40 is: 5,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.26 : 18,674.53 = 3,682.40 : x
  2. Step 2: Convert to fraction form
    12,447.26/18,674.53 = 3,682.40/x
  3. Step 3: Cross multiply
    12,447.26x = 18,674.53 × 3,682.40
  4. Step 4: Simplify right side
    12,447.26x = 68,767,089.27
  5. Step 5: Solve for x
    x = 68,767,089.27/12,447.26
  6. Step 6: Final answer
    x = 5,524.68

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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.