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Finding the Fourth Proportional to 24,864, 37,296 and 8,448

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Solution

The fourth proportional to 24,864, 37,296 and 8,448 is: 12,672

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,864 : 37,296 = 8,448 : x
  2. Step 2: Convert to fraction form
    24,864/37,296 = 8,448/x
  3. Step 3: Cross multiply
    24,864x = 37,296 × 8,448
  4. Step 4: Simplify right side
    24,864x = 315,076,608
  5. Step 5: Solve for x
    x = 315,076,608/24,864
  6. Step 6: Final answer
    x = 12,672

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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.