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Finding the Fourth Proportional to 24,225.28, 36,336.90 and 8,433.94

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Solution

The fourth proportional to 24,225.28, 36,336.90 and 8,433.94 is: 12,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,225.28 : 36,336.90 = 8,433.94 : x
  2. Step 2: Convert to fraction form
    24,225.28/36,336.90 = 8,433.94/x
  3. Step 3: Cross multiply
    24,225.28x = 36,336.90 × 8,433.94
  4. Step 4: Simplify right side
    24,225.28x = 306,463,234.39
  5. Step 5: Solve for x
    x = 306,463,234.39/24,225.28
  6. Step 6: Final answer
    x = 12,650.55

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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.