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Finding the Fourth Proportional to 16,205.38, 22,364.70 and 9,037.62

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Solution

The fourth proportional to 16,205.38, 22,364.70 and 9,037.62 is: 12,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.38 : 22,364.70 = 9,037.62 : x
  2. Step 2: Convert to fraction form
    16,205.38/22,364.70 = 9,037.62/x
  3. Step 3: Cross multiply
    16,205.38x = 22,364.70 × 9,037.62
  4. Step 4: Simplify right side
    16,205.38x = 202,123,660.01
  5. Step 5: Solve for x
    x = 202,123,660.01/16,205.38
  6. Step 6: Final answer
    x = 12,472.63

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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.