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Finding the Fourth Proportional to 22,949.73, 34,408.94 and 7,952.99

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Solution

The fourth proportional to 22,949.73, 34,408.94 and 7,952.99 is: 11,924.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,949.73 : 34,408.94 = 7,952.99 : x
  2. Step 2: Convert to fraction form
    22,949.73/34,408.94 = 7,952.99/x
  3. Step 3: Cross multiply
    22,949.73x = 34,408.94 × 7,952.99
  4. Step 4: Simplify right side
    22,949.73x = 273,653,743.92
  5. Step 5: Solve for x
    x = 273,653,743.92/22,949.73
  6. Step 6: Final answer
    x = 11,924.05

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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.