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Finding the Fourth Proportional to 22,580.88, 33,893.16 and 10,902.28

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Solution

The fourth proportional to 22,580.88, 33,893.16 and 10,902.28 is: 16,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.88 : 33,893.16 = 10,902.28 : x
  2. Step 2: Convert to fraction form
    22,580.88/33,893.16 = 10,902.28/x
  3. Step 3: Cross multiply
    22,580.88x = 33,893.16 × 10,902.28
  4. Step 4: Simplify right side
    22,580.88x = 369,512,720.40
  5. Step 5: Solve for x
    x = 369,512,720.40/22,580.88
  6. Step 6: Final answer
    x = 16,363.96

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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.