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Finding the Fourth Proportional to 16,576.88, 24,832.06 and 8,231.65

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Solution

The fourth proportional to 16,576.88, 24,832.06 and 8,231.65 is: 12,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576.88 : 24,832.06 = 8,231.65 : x
  2. Step 2: Convert to fraction form
    16,576.88/24,832.06 = 8,231.65/x
  3. Step 3: Cross multiply
    16,576.88x = 24,832.06 × 8,231.65
  4. Step 4: Simplify right side
    16,576.88x = 204,408,744.04
  5. Step 5: Solve for x
    x = 204,408,744.04/16,576.88
  6. Step 6: Final answer
    x = 12,330.96

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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.