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Finding the Fourth Proportional to 23,188, 34,782 and 10,876

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Solution

The fourth proportional to 23,188, 34,782 and 10,876 is: 16,314

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,188 : 34,782 = 10,876 : x
  2. Step 2: Convert to fraction form
    23,188/34,782 = 10,876/x
  3. Step 3: Cross multiply
    23,188x = 34,782 × 10,876
  4. Step 4: Simplify right side
    23,188x = 378,289,032
  5. Step 5: Solve for x
    x = 378,289,032/23,188
  6. Step 6: Final answer
    x = 16,314

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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.