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Finding the Fourth Proportional to 22,586.78, 33,874.70 and 10,735.28

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Solution

The fourth proportional to 22,586.78, 33,874.70 and 10,735.28 is: 16,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.78 : 33,874.70 = 10,735.28 : x
  2. Step 2: Convert to fraction form
    22,586.78/33,874.70 = 10,735.28/x
  3. Step 3: Cross multiply
    22,586.78x = 33,874.70 × 10,735.28
  4. Step 4: Simplify right side
    22,586.78x = 363,654,389.42
  5. Step 5: Solve for x
    x = 363,654,389.42/22,586.78
  6. Step 6: Final answer
    x = 16,100.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.