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Finding the Fourth Proportional to 22,642.13, 33,952.27 and 9,490.97

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Solution

The fourth proportional to 22,642.13, 33,952.27 and 9,490.97 is: 14,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.13 : 33,952.27 = 9,490.97 : x
  2. Step 2: Convert to fraction form
    22,642.13/33,952.27 = 9,490.97/x
  3. Step 3: Cross multiply
    22,642.13x = 33,952.27 × 9,490.97
  4. Step 4: Simplify right side
    22,642.13x = 322,239,976.00
  5. Step 5: Solve for x
    x = 322,239,976.00/22,642.13
  6. Step 6: Final answer
    x = 14,231.88

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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.