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Finding the Fourth Proportional to 16,099.66, 22,217.49 and 9,026.24

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Solution

The fourth proportional to 16,099.66, 22,217.49 and 9,026.24 is: 12,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.66 : 22,217.49 = 9,026.24 : x
  2. Step 2: Convert to fraction form
    16,099.66/22,217.49 = 9,026.24/x
  3. Step 3: Cross multiply
    16,099.66x = 22,217.49 × 9,026.24
  4. Step 4: Simplify right side
    16,099.66x = 200,540,285.85
  5. Step 5: Solve for x
    x = 200,540,285.85/16,099.66
  6. Step 6: Final answer
    x = 12,456.18

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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.