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Finding the Fourth Proportional to 16,497.18, 24,727.16 and 8,183.16

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Solution

The fourth proportional to 16,497.18, 24,727.16 and 8,183.16 is: 12,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.18 : 24,727.16 = 8,183.16 : x
  2. Step 2: Convert to fraction form
    16,497.18/24,727.16 = 8,183.16/x
  3. Step 3: Cross multiply
    16,497.18x = 24,727.16 × 8,183.16
  4. Step 4: Simplify right side
    16,497.18x = 202,346,327.08
  5. Step 5: Solve for x
    x = 202,346,327.08/16,497.18
  6. Step 6: Final answer
    x = 12,265.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.