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Finding the Fourth Proportional to 22,933.82, 34,404.17 and 8,141.50

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Solution

The fourth proportional to 22,933.82, 34,404.17 and 8,141.50 is: 12,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,933.82 : 34,404.17 = 8,141.50 : x
  2. Step 2: Convert to fraction form
    22,933.82/34,404.17 = 8,141.50/x
  3. Step 3: Cross multiply
    22,933.82x = 34,404.17 × 8,141.50
  4. Step 4: Simplify right side
    22,933.82x = 280,101,552.35
  5. Step 5: Solve for x
    x = 280,101,552.35/22,933.82
  6. Step 6: Final answer
    x = 12,213.47

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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.