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Finding the Fourth Proportional to 22,508, 33,762 and 6,092

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Solution

The fourth proportional to 22,508, 33,762 and 6,092 is: 9,138

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,508 : 33,762 = 6,092 : x
  2. Step 2: Convert to fraction form
    22,508/33,762 = 6,092/x
  3. Step 3: Cross multiply
    22,508x = 33,762 × 6,092
  4. Step 4: Simplify right side
    22,508x = 205,678,104
  5. Step 5: Solve for x
    x = 205,678,104/22,508
  6. Step 6: Final answer
    x = 9,138

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.