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Finding the Fourth Proportional to 12,096.16, 18,142.48 and 3,774.24

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Solution

The fourth proportional to 12,096.16, 18,142.48 and 3,774.24 is: 5,660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.16 : 18,142.48 = 3,774.24 : x
  2. Step 2: Convert to fraction form
    12,096.16/18,142.48 = 3,774.24/x
  3. Step 3: Cross multiply
    12,096.16x = 18,142.48 × 3,774.24
  4. Step 4: Simplify right side
    12,096.16x = 68,474,073.72
  5. Step 5: Solve for x
    x = 68,474,073.72/12,096.16
  6. Step 6: Final answer
    x = 5,660.81

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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.