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Finding the Fourth Proportional to 18,408.96, 27,617.28 and 6,096

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Solution

The fourth proportional to 18,408.96, 27,617.28 and 6,096 is: 9,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,408.96 : 27,617.28 = 6,096 : x
  2. Step 2: Convert to fraction form
    18,408.96/27,617.28 = 6,096/x
  3. Step 3: Cross multiply
    18,408.96x = 27,617.28 × 6,096
  4. Step 4: Simplify right side
    18,408.96x = 168,354,938.88
  5. Step 5: Solve for x
    x = 168,354,938.88/18,408.96
  6. Step 6: Final answer
    x = 9,145.27

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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.