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Finding the Fourth Proportional to 16,039, 22,133.82 and 8,965.27

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Solution

The fourth proportional to 16,039, 22,133.82 and 8,965.27 is: 12,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,039 : 22,133.82 = 8,965.27 : x
  2. Step 2: Convert to fraction form
    16,039/22,133.82 = 8,965.27/x
  3. Step 3: Cross multiply
    16,039x = 22,133.82 × 8,965.27
  4. Step 4: Simplify right side
    16,039x = 198,435,672.43
  5. Step 5: Solve for x
    x = 198,435,672.43/16,039
  6. Step 6: Final answer
    x = 12,372.07

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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.