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Finding the Fourth Proportional to 24,614, 36,921 and 8,198

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Solution

The fourth proportional to 24,614, 36,921 and 8,198 is: 12,297

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,614 : 36,921 = 8,198 : x
  2. Step 2: Convert to fraction form
    24,614/36,921 = 8,198/x
  3. Step 3: Cross multiply
    24,614x = 36,921 × 8,198
  4. Step 4: Simplify right side
    24,614x = 302,678,358
  5. Step 5: Solve for x
    x = 302,678,358/24,614
  6. Step 6: Final answer
    x = 12,297

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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.