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Finding the Fourth Proportional to 16,186.92, 24,260.92 and 6,823.32

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Solution

The fourth proportional to 16,186.92, 24,260.92 and 6,823.32 is: 10,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.92 : 24,260.92 = 6,823.32 : x
  2. Step 2: Convert to fraction form
    16,186.92/24,260.92 = 6,823.32/x
  3. Step 3: Cross multiply
    16,186.92x = 24,260.92 × 6,823.32
  4. Step 4: Simplify right side
    16,186.92x = 165,540,020.65
  5. Step 5: Solve for x
    x = 165,540,020.65/16,186.92
  6. Step 6: Final answer
    x = 10,226.78

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1.5x scale

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.