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Finding the Fourth Proportional to 22,027.68, 33,037.20 and 6,441.12

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Solution

The fourth proportional to 22,027.68, 33,037.20 and 6,441.12 is: 9,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,027.68 : 33,037.20 = 6,441.12 : x
  2. Step 2: Convert to fraction form
    22,027.68/33,037.20 = 6,441.12/x
  3. Step 3: Cross multiply
    22,027.68x = 33,037.20 × 6,441.12
  4. Step 4: Simplify right side
    22,027.68x = 212,796,569.66
  5. Step 5: Solve for x
    x = 212,796,569.66/22,027.68
  6. Step 6: Final answer
    x = 9,660.42

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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.