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Finding the Fourth Proportional to 24,663, 36,994.52 and 8,247

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Solution

The fourth proportional to 24,663, 36,994.52 and 8,247 is: 12,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,663 : 36,994.52 = 8,247 : x
  2. Step 2: Convert to fraction form
    24,663/36,994.52 = 8,247/x
  3. Step 3: Cross multiply
    24,663x = 36,994.52 × 8,247
  4. Step 4: Simplify right side
    24,663x = 305,093,806.44
  5. Step 5: Solve for x
    x = 305,093,806.44/24,663
  6. Step 6: Final answer
    x = 12,370.51

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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.