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Finding the Fourth Proportional to 12,426.78, 18,640.37 and 3,662.58

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Solution

The fourth proportional to 12,426.78, 18,640.37 and 3,662.58 is: 5,493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.78 : 18,640.37 = 3,662.58 : x
  2. Step 2: Convert to fraction form
    12,426.78/18,640.37 = 3,662.58/x
  3. Step 3: Cross multiply
    12,426.78x = 18,640.37 × 3,662.58
  4. Step 4: Simplify right side
    12,426.78x = 68,271,846.35
  5. Step 5: Solve for x
    x = 68,271,846.35/12,426.78
  6. Step 6: Final answer
    x = 5,493.93

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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.