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Finding the Fourth Proportional to 24,625, 36,937.82 and 8,209

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Solution

The fourth proportional to 24,625, 36,937.82 and 8,209 is: 12,313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,625 : 36,937.82 = 8,209 : x
  2. Step 2: Convert to fraction form
    24,625/36,937.82 = 8,209/x
  3. Step 3: Cross multiply
    24,625x = 36,937.82 × 8,209
  4. Step 4: Simplify right side
    24,625x = 303,222,564.38
  5. Step 5: Solve for x
    x = 303,222,564.38/24,625
  6. Step 6: Final answer
    x = 12,313.61

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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.