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Finding the Fourth Proportional to 24,224.78, 36,336.15 and 8,433.44

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Solution

The fourth proportional to 24,224.78, 36,336.15 and 8,433.44 is: 12,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,224.78 : 36,336.15 = 8,433.44 : x
  2. Step 2: Convert to fraction form
    24,224.78/36,336.15 = 8,433.44/x
  3. Step 3: Cross multiply
    24,224.78x = 36,336.15 × 8,433.44
  4. Step 4: Simplify right side
    24,224.78x = 306,438,740.86
  5. Step 5: Solve for x
    x = 306,438,740.86/24,224.78
  6. Step 6: Final answer
    x = 12,649.80

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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.