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Finding the Fourth Proportional to 22,647.73, 33,960.66 and 9,496.57

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Solution

The fourth proportional to 22,647.73, 33,960.66 and 9,496.57 is: 14,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.73 : 33,960.66 = 9,496.57 : x
  2. Step 2: Convert to fraction form
    22,647.73/33,960.66 = 9,496.57/x
  3. Step 3: Cross multiply
    22,647.73x = 33,960.66 × 9,496.57
  4. Step 4: Simplify right side
    22,647.73x = 322,509,784.94
  5. Step 5: Solve for x
    x = 322,509,784.94/22,647.73
  6. Step 6: Final answer
    x = 14,240.27

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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.