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Finding the Fourth Proportional to 22,638.60, 33,971.13 and 9,489.96

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Solution

The fourth proportional to 22,638.60, 33,971.13 and 9,489.96 is: 14,240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.60 : 33,971.13 = 9,489.96 : x
  2. Step 2: Convert to fraction form
    22,638.60/33,971.13 = 9,489.96/x
  3. Step 3: Cross multiply
    22,638.60x = 33,971.13 × 9,489.96
  4. Step 4: Simplify right side
    22,638.60x = 322,384,664.85
  5. Step 5: Solve for x
    x = 322,384,664.85/22,638.60
  6. Step 6: Final answer
    x = 14,240.49

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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.