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Finding the Fourth Proportional to 20,978.56, 31,461 and 6,935.32

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Solution

The fourth proportional to 20,978.56, 31,461 and 6,935.32 is: 10,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.56 : 31,461 = 6,935.32 : x
  2. Step 2: Convert to fraction form
    20,978.56/31,461 = 6,935.32/x
  3. Step 3: Cross multiply
    20,978.56x = 31,461 × 6,935.32
  4. Step 4: Simplify right side
    20,978.56x = 218,192,102.52
  5. Step 5: Solve for x
    x = 218,192,102.52/20,978.56
  6. Step 6: Final answer
    x = 10,400.72

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