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Finding the Fourth Proportional to 16,149.72, 24,226.74 and 5,757.96

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Solution

The fourth proportional to 16,149.72, 24,226.74 and 5,757.96 is: 8,637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.72 : 24,226.74 = 5,757.96 : x
  2. Step 2: Convert to fraction form
    16,149.72/24,226.74 = 5,757.96/x
  3. Step 3: Cross multiply
    16,149.72x = 24,226.74 × 5,757.96
  4. Step 4: Simplify right side
    16,149.72x = 139,496,599.85
  5. Step 5: Solve for x
    x = 139,496,599.85/16,149.72
  6. Step 6: Final answer
    x = 8,637.71

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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.