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Finding the Fourth Proportional to 20,975.58, 31,468.84 and 7,828.99

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Solution

The fourth proportional to 20,975.58, 31,468.84 and 7,828.99 is: 11,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,975.58 : 31,468.84 = 7,828.99 : x
  2. Step 2: Convert to fraction form
    20,975.58/31,468.84 = 7,828.99/x
  3. Step 3: Cross multiply
    20,975.58x = 31,468.84 × 7,828.99
  4. Step 4: Simplify right side
    20,975.58x = 246,369,135.43
  5. Step 5: Solve for x
    x = 246,369,135.43/20,975.58
  6. Step 6: Final answer
    x = 11,745.52

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