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Finding the Fourth Proportional to 20,758.16, 31,138.86 and 10,361

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Solution

The fourth proportional to 20,758.16, 31,138.86 and 10,361 is: 15,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,758.16 : 31,138.86 = 10,361 : x
  2. Step 2: Convert to fraction form
    20,758.16/31,138.86 = 10,361/x
  3. Step 3: Cross multiply
    20,758.16x = 31,138.86 × 10,361
  4. Step 4: Simplify right side
    20,758.16x = 322,629,728.46
  5. Step 5: Solve for x
    x = 322,629,728.46/20,758.16
  6. Step 6: Final answer
    x = 15,542.31

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