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Finding the Fourth Proportional to 22,724.25, 34,101.94 and 7,933.17

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Solution

The fourth proportional to 22,724.25, 34,101.94 and 7,933.17 is: 11,905.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,724.25 : 34,101.94 = 7,933.17 : x
  2. Step 2: Convert to fraction form
    22,724.25/34,101.94 = 7,933.17/x
  3. Step 3: Cross multiply
    22,724.25x = 34,101.94 × 7,933.17
  4. Step 4: Simplify right side
    22,724.25x = 270,536,487.35
  5. Step 5: Solve for x
    x = 270,536,487.35/22,724.25
  6. Step 6: Final answer
    x = 11,905.19

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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.