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Finding the Fourth Proportional to 24,561.78, 36,850.05 and 8,764.80

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Solution

The fourth proportional to 24,561.78, 36,850.05 and 8,764.80 is: 13,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561.78 : 36,850.05 = 8,764.80 : x
  2. Step 2: Convert to fraction form
    24,561.78/36,850.05 = 8,764.80/x
  3. Step 3: Cross multiply
    24,561.78x = 36,850.05 × 8,764.80
  4. Step 4: Simplify right side
    24,561.78x = 322,983,318.24
  5. Step 5: Solve for x
    x = 322,983,318.24/24,561.78
  6. Step 6: Final answer
    x = 13,149.83

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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.