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Finding the Fourth Proportional to 12,427.96, 18,644.64 and 3,662.16

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Solution

The fourth proportional to 12,427.96, 18,644.64 and 3,662.16 is: 5,494.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.96 : 18,644.64 = 3,662.16 : x
  2. Step 2: Convert to fraction form
    12,427.96/18,644.64 = 3,662.16/x
  3. Step 3: Cross multiply
    12,427.96x = 18,644.64 × 3,662.16
  4. Step 4: Simplify right side
    12,427.96x = 68,279,654.82
  5. Step 5: Solve for x
    x = 68,279,654.82/12,427.96
  6. Step 6: Final answer
    x = 5,494.04

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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.