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Finding the Fourth Proportional to 23,942.52, 35,898.22 and 9,898.78

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Solution

The fourth proportional to 23,942.52, 35,898.22 and 9,898.78 is: 14,841.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,942.52 : 35,898.22 = 9,898.78 : x
  2. Step 2: Convert to fraction form
    23,942.52/35,898.22 = 9,898.78/x
  3. Step 3: Cross multiply
    23,942.52x = 35,898.22 × 9,898.78
  4. Step 4: Simplify right side
    23,942.52x = 355,348,571.91
  5. Step 5: Solve for x
    x = 355,348,571.91/23,942.52
  6. Step 6: Final answer
    x = 14,841.73

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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.