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Finding the Fourth Proportional to 16,035.38, 22,128.41 and 8,961.86

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Solution

The fourth proportional to 16,035.38, 22,128.41 and 8,961.86 is: 12,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,035.38 : 22,128.41 = 8,961.86 : x
  2. Step 2: Convert to fraction form
    16,035.38/22,128.41 = 8,961.86/x
  3. Step 3: Cross multiply
    16,035.38x = 22,128.41 × 8,961.86
  4. Step 4: Simplify right side
    16,035.38x = 198,311,712.44
  5. Step 5: Solve for x
    x = 198,311,712.44/16,035.38
  6. Step 6: Final answer
    x = 12,367.14

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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.