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Finding the Fourth Proportional to 22,027.71, 33,046.70 and 6,446.55

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Solution

The fourth proportional to 22,027.71, 33,046.70 and 6,446.55 is: 9,671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,027.71 : 33,046.70 = 6,446.55 : x
  2. Step 2: Convert to fraction form
    22,027.71/33,046.70 = 6,446.55/x
  3. Step 3: Cross multiply
    22,027.71x = 33,046.70 × 6,446.55
  4. Step 4: Simplify right side
    22,027.71x = 213,037,203.89
  5. Step 5: Solve for x
    x = 213,037,203.89/22,027.71
  6. Step 6: Final answer
    x = 9,671.33

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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.