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Finding the Fourth Proportional to 23,194, 34,791 and 10,882

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Solution

The fourth proportional to 23,194, 34,791 and 10,882 is: 16,323

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,194 : 34,791 = 10,882 : x
  2. Step 2: Convert to fraction form
    23,194/34,791 = 10,882/x
  3. Step 3: Cross multiply
    23,194x = 34,791 × 10,882
  4. Step 4: Simplify right side
    23,194x = 378,595,662
  5. Step 5: Solve for x
    x = 378,595,662/23,194
  6. Step 6: Final answer
    x = 16,323

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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.