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Finding the Fourth Proportional to 12,427.66, 18,640.81 and 3,662.65

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Solution

The fourth proportional to 12,427.66, 18,640.81 and 3,662.65 is: 5,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.66 : 18,640.81 = 3,662.65 : x
  2. Step 2: Convert to fraction form
    12,427.66/18,640.81 = 3,662.65/x
  3. Step 3: Cross multiply
    12,427.66x = 18,640.81 × 3,662.65
  4. Step 4: Simplify right side
    12,427.66x = 68,274,762.75
  5. Step 5: Solve for x
    x = 68,274,762.75/12,427.66
  6. Step 6: Final answer
    x = 5,493.77

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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.