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Finding the Fourth Proportional to 24,632.76, 36,942.39 and 8,834.87

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Solution

The fourth proportional to 24,632.76, 36,942.39 and 8,834.87 is: 13,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,632.76 : 36,942.39 = 8,834.87 : x
  2. Step 2: Convert to fraction form
    24,632.76/36,942.39 = 8,834.87/x
  3. Step 3: Cross multiply
    24,632.76x = 36,942.39 × 8,834.87
  4. Step 4: Simplify right side
    24,632.76x = 326,381,028.43
  5. Step 5: Solve for x
    x = 326,381,028.43/24,632.76
  6. Step 6: Final answer
    x = 13,249.88

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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.