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Finding the Fourth Proportional to 22,634.56, 33,952.09 and 6,839.72

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Solution

The fourth proportional to 22,634.56, 33,952.09 and 6,839.72 is: 10,259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.56 : 33,952.09 = 6,839.72 : x
  2. Step 2: Convert to fraction form
    22,634.56/33,952.09 = 6,839.72/x
  3. Step 3: Cross multiply
    22,634.56x = 33,952.09 × 6,839.72
  4. Step 4: Simplify right side
    22,634.56x = 232,222,789.01
  5. Step 5: Solve for x
    x = 232,222,789.01/22,634.56
  6. Step 6: Final answer
    x = 10,259.66

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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.