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Finding the Fourth Proportional to 11,824.70, 17,705.75 and 7,138.44

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Solution

The fourth proportional to 11,824.70, 17,705.75 and 7,138.44 is: 10,688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.70 : 17,705.75 = 7,138.44 : x
  2. Step 2: Convert to fraction form
    11,824.70/17,705.75 = 7,138.44/x
  3. Step 3: Cross multiply
    11,824.70x = 17,705.75 × 7,138.44
  4. Step 4: Simplify right side
    11,824.70x = 126,391,398.34
  5. Step 5: Solve for x
    x = 126,391,398.34/11,824.70
  6. Step 6: Final answer
    x = 10,688.77

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