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Finding the Fourth Proportional to 22,644.36, 33,971.52 and 9,489.96

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Solution

The fourth proportional to 22,644.36, 33,971.52 and 9,489.96 is: 14,237.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.36 : 33,971.52 = 9,489.96 : x
  2. Step 2: Convert to fraction form
    22,644.36/33,971.52 = 9,489.96/x
  3. Step 3: Cross multiply
    22,644.36x = 33,971.52 × 9,489.96
  4. Step 4: Simplify right side
    22,644.36x = 322,388,365.94
  5. Step 5: Solve for x
    x = 322,388,365.94/22,644.36
  6. Step 6: Final answer
    x = 14,237.03

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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.