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Finding the Fourth Proportional to 22,523.25, 33,784.89 and 6,107.25

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Solution

The fourth proportional to 22,523.25, 33,784.89 and 6,107.25 is: 9,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.25 : 33,784.89 = 6,107.25 : x
  2. Step 2: Convert to fraction form
    22,523.25/33,784.89 = 6,107.25/x
  3. Step 3: Cross multiply
    22,523.25x = 33,784.89 × 6,107.25
  4. Step 4: Simplify right side
    22,523.25x = 206,332,769.45
  5. Step 5: Solve for x
    x = 206,332,769.45/22,523.25
  6. Step 6: Final answer
    x = 9,160.88

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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.