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Finding the Fourth Proportional to 22,046.66, 33,076.82 and 6,464.28

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Solution

The fourth proportional to 22,046.66, 33,076.82 and 6,464.28 is: 9,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,046.66 : 33,076.82 = 6,464.28 : x
  2. Step 2: Convert to fraction form
    22,046.66/33,076.82 = 6,464.28/x
  3. Step 3: Cross multiply
    22,046.66x = 33,076.82 × 6,464.28
  4. Step 4: Simplify right side
    22,046.66x = 213,817,825.99
  5. Step 5: Solve for x
    x = 213,817,825.99/22,046.66
  6. Step 6: Final answer
    x = 9,698.42

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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.