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Finding the Fourth Proportional to 20,792.78, 31,205.54 and 9,693.75

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Solution

The fourth proportional to 20,792.78, 31,205.54 and 9,693.75 is: 14,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,792.78 : 31,205.54 = 9,693.75 : x
  2. Step 2: Convert to fraction form
    20,792.78/31,205.54 = 9,693.75/x
  3. Step 3: Cross multiply
    20,792.78x = 31,205.54 × 9,693.75
  4. Step 4: Simplify right side
    20,792.78x = 302,498,727.61
  5. Step 5: Solve for x
    x = 302,498,727.61/20,792.78
  6. Step 6: Final answer
    x = 14,548.26

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