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Finding the Fourth Proportional to 22,097.78, 33,158.82 and 10,410.70

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Solution

The fourth proportional to 22,097.78, 33,158.82 and 10,410.70 is: 15,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.78 : 33,158.82 = 10,410.70 : x
  2. Step 2: Convert to fraction form
    22,097.78/33,158.82 = 10,410.70/x
  3. Step 3: Cross multiply
    22,097.78x = 33,158.82 × 10,410.70
  4. Step 4: Simplify right side
    22,097.78x = 345,206,527.37
  5. Step 5: Solve for x
    x = 345,206,527.37/22,097.78
  6. Step 6: Final answer
    x = 15,621.77

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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.