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Finding the Fourth Proportional to 24,866, 37,299 and 8,450

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Solution

The fourth proportional to 24,866, 37,299 and 8,450 is: 12,675

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,866 : 37,299 = 8,450 : x
  2. Step 2: Convert to fraction form
    24,866/37,299 = 8,450/x
  3. Step 3: Cross multiply
    24,866x = 37,299 × 8,450
  4. Step 4: Simplify right side
    24,866x = 315,176,550
  5. Step 5: Solve for x
    x = 315,176,550/24,866
  6. Step 6: Final answer
    x = 12,675

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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.