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Finding the Fourth Proportional to 22,676.40, 33,989.49 and 10,965.42

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Solution

The fourth proportional to 22,676.40, 33,989.49 and 10,965.42 is: 16,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676.40 : 33,989.49 = 10,965.42 : x
  2. Step 2: Convert to fraction form
    22,676.40/33,989.49 = 10,965.42/x
  3. Step 3: Cross multiply
    22,676.40x = 33,989.49 × 10,965.42
  4. Step 4: Simplify right side
    22,676.40x = 372,709,033.44
  5. Step 5: Solve for x
    x = 372,709,033.44/22,676.40
  6. Step 6: Final answer
    x = 16,435.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.