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Finding the Fourth Proportional to 22,662, 33,884.82 and 20,676.87

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Solution

The fourth proportional to 22,662, 33,884.82 and 20,676.87 is: 30,916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662 : 33,884.82 = 20,676.87 : x
  2. Step 2: Convert to fraction form
    22,662/33,884.82 = 20,676.87/x
  3. Step 3: Cross multiply
    22,662x = 33,884.82 × 20,676.87
  4. Step 4: Simplify right side
    22,662x = 700,632,018.11
  5. Step 5: Solve for x
    x = 700,632,018.11/22,662
  6. Step 6: Final answer
    x = 30,916.60

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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.