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Finding the Fourth Proportional to 22,299.54, 33,441.56 and 6,500.22

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Solution

The fourth proportional to 22,299.54, 33,441.56 and 6,500.22 is: 9,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,299.54 : 33,441.56 = 6,500.22 : x
  2. Step 2: Convert to fraction form
    22,299.54/33,441.56 = 6,500.22/x
  3. Step 3: Cross multiply
    22,299.54x = 33,441.56 × 6,500.22
  4. Step 4: Simplify right side
    22,299.54x = 217,377,497.14
  5. Step 5: Solve for x
    x = 217,377,497.14/22,299.54
  6. Step 6: Final answer
    x = 9,748.07

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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.