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Finding the Fourth Proportional to 22,396.78, 33,600.03 and 6,814

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Solution

The fourth proportional to 22,396.78, 33,600.03 and 6,814 is: 10,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,396.78 : 33,600.03 = 6,814 : x
  2. Step 2: Convert to fraction form
    22,396.78/33,600.03 = 6,814/x
  3. Step 3: Cross multiply
    22,396.78x = 33,600.03 × 6,814
  4. Step 4: Simplify right side
    22,396.78x = 228,950,604.42
  5. Step 5: Solve for x
    x = 228,950,604.42/22,396.78
  6. Step 6: Final answer
    x = 10,222.48

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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.