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Finding the Fourth Proportional to 22,652.91, 33,989.49 and 11,553.75

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Solution

The fourth proportional to 22,652.91, 33,989.49 and 11,553.75 is: 17,335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.91 : 33,989.49 = 11,553.75 : x
  2. Step 2: Convert to fraction form
    22,652.91/33,989.49 = 11,553.75/x
  3. Step 3: Cross multiply
    22,652.91x = 33,989.49 × 11,553.75
  4. Step 4: Simplify right side
    22,652.91x = 392,706,070.09
  5. Step 5: Solve for x
    x = 392,706,070.09/22,652.91
  6. Step 6: Final answer
    x = 17,335.79

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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.