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Finding the Fourth Proportional to 26,300, 39,456.48 and 7,832

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Solution

The fourth proportional to 26,300, 39,456.48 and 7,832 is: 11,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,300 : 39,456.48 = 7,832 : x
  2. Step 2: Convert to fraction form
    26,300/39,456.48 = 7,832/x
  3. Step 3: Cross multiply
    26,300x = 39,456.48 × 7,832
  4. Step 4: Simplify right side
    26,300x = 309,023,151.36
  5. Step 5: Solve for x
    x = 309,023,151.36/26,300
  6. Step 6: Final answer
    x = 11,749.93

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