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Finding the Fourth Proportional to 12,272.38, 18,404.66 and 3,950.46

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Solution

The fourth proportional to 12,272.38, 18,404.66 and 3,950.46 is: 5,924.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.38 : 18,404.66 = 3,950.46 : x
  2. Step 2: Convert to fraction form
    12,272.38/18,404.66 = 3,950.46/x
  3. Step 3: Cross multiply
    12,272.38x = 18,404.66 × 3,950.46
  4. Step 4: Simplify right side
    12,272.38x = 72,706,853.39
  5. Step 5: Solve for x
    x = 72,706,853.39/12,272.38
  6. Step 6: Final answer
    x = 5,924.43

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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.