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Finding the Fourth Proportional to 22,464.97, 33,679.17 and 8,417.14

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Solution

The fourth proportional to 22,464.97, 33,679.17 and 8,417.14 is: 12,618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464.97 : 33,679.17 = 8,417.14 : x
  2. Step 2: Convert to fraction form
    22,464.97/33,679.17 = 8,417.14/x
  3. Step 3: Cross multiply
    22,464.97x = 33,679.17 × 8,417.14
  4. Step 4: Simplify right side
    22,464.97x = 283,482,288.97
  5. Step 5: Solve for x
    x = 283,482,288.97/22,464.97
  6. Step 6: Final answer
    x = 12,618.86

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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.