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Finding the Fourth Proportional to 22,096.78, 33,157.32 and 10,409.70

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Solution

The fourth proportional to 22,096.78, 33,157.32 and 10,409.70 is: 15,620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096.78 : 33,157.32 = 10,409.70 : x
  2. Step 2: Convert to fraction form
    22,096.78/33,157.32 = 10,409.70/x
  3. Step 3: Cross multiply
    22,096.78x = 33,157.32 × 10,409.70
  4. Step 4: Simplify right side
    22,096.78x = 345,157,754.00
  5. Step 5: Solve for x
    x = 345,157,754.00/22,096.78
  6. Step 6: Final answer
    x = 15,620.27

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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.