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Finding the Fourth Proportional to 16,160.96, 24,224.72 and 6,163.02

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Solution

The fourth proportional to 16,160.96, 24,224.72 and 6,163.02 is: 9,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160.96 : 24,224.72 = 6,163.02 : x
  2. Step 2: Convert to fraction form
    16,160.96/24,224.72 = 6,163.02/x
  3. Step 3: Cross multiply
    16,160.96x = 24,224.72 × 6,163.02
  4. Step 4: Simplify right side
    16,160.96x = 149,297,335.31
  5. Step 5: Solve for x
    x = 149,297,335.31/16,160.96
  6. Step 6: Final answer
    x = 9,238.15

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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.