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Finding the Fourth Proportional to 24,794.43, 37,188 and 8,153.79

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Solution

The fourth proportional to 24,794.43, 37,188 and 8,153.79 is: 12,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,794.43 : 37,188 = 8,153.79 : x
  2. Step 2: Convert to fraction form
    24,794.43/37,188 = 8,153.79/x
  3. Step 3: Cross multiply
    24,794.43x = 37,188 × 8,153.79
  4. Step 4: Simplify right side
    24,794.43x = 303,223,142.52
  5. Step 5: Solve for x
    x = 303,223,142.52/24,794.43
  6. Step 6: Final answer
    x = 12,229.49

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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.