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Finding the Fourth Proportional to 22,580.78, 33,865.70 and 10,729.29

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Solution

The fourth proportional to 22,580.78, 33,865.70 and 10,729.29 is: 16,091.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.78 : 33,865.70 = 10,729.29 : x
  2. Step 2: Convert to fraction form
    22,580.78/33,865.70 = 10,729.29/x
  3. Step 3: Cross multiply
    22,580.78x = 33,865.70 × 10,729.29
  4. Step 4: Simplify right side
    22,580.78x = 363,354,703.96
  5. Step 5: Solve for x
    x = 363,354,703.96/22,580.78
  6. Step 6: Final answer
    x = 16,091.33

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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.