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Finding the Fourth Proportional to 14,092, 21,138 and 5,884

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Solution

The fourth proportional to 14,092, 21,138 and 5,884 is: 8,826

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092 : 21,138 = 5,884 : x
  2. Step 2: Convert to fraction form
    14,092/21,138 = 5,884/x
  3. Step 3: Cross multiply
    14,092x = 21,138 × 5,884
  4. Step 4: Simplify right side
    14,092x = 124,375,992
  5. Step 5: Solve for x
    x = 124,375,992/14,092
  6. Step 6: Final answer
    x = 8,826

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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.