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Finding the Fourth Proportional to 12,414.81, 18,622.22 and 3,649.80

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Solution

The fourth proportional to 12,414.81, 18,622.22 and 3,649.80 is: 5,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.81 : 18,622.22 = 3,649.80 : x
  2. Step 2: Convert to fraction form
    12,414.81/18,622.22 = 3,649.80/x
  3. Step 3: Cross multiply
    12,414.81x = 18,622.22 × 3,649.80
  4. Step 4: Simplify right side
    12,414.81x = 67,967,360.31
  5. Step 5: Solve for x
    x = 67,967,360.31/12,414.81
  6. Step 6: Final answer
    x = 5,474.70

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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.