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Finding the Fourth Proportional to 16,039.26, 22,134.38 and 8,965.80

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Solution

The fourth proportional to 16,039.26, 22,134.38 and 8,965.80 is: 12,372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,039.26 : 22,134.38 = 8,965.80 : x
  2. Step 2: Convert to fraction form
    16,039.26/22,134.38 = 8,965.80/x
  3. Step 3: Cross multiply
    16,039.26x = 22,134.38 × 8,965.80
  4. Step 4: Simplify right side
    16,039.26x = 198,452,379.38
  5. Step 5: Solve for x
    x = 198,452,379.38/16,039.26
  6. Step 6: Final answer
    x = 12,372.91

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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.