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Finding the Fourth Proportional to 16,321.44, 22,523.46 and 8,869.44

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Solution

The fourth proportional to 16,321.44, 22,523.46 and 8,869.44 is: 12,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,321.44 : 22,523.46 = 8,869.44 : x
  2. Step 2: Convert to fraction form
    16,321.44/22,523.46 = 8,869.44/x
  3. Step 3: Cross multiply
    16,321.44x = 22,523.46 × 8,869.44
  4. Step 4: Simplify right side
    16,321.44x = 199,770,477.06
  5. Step 5: Solve for x
    x = 199,770,477.06/16,321.44
  6. Step 6: Final answer
    x = 12,239.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.