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Finding the Fourth Proportional to 20,948.64, 31,403.16 and 7,792.08

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Solution

The fourth proportional to 20,948.64, 31,403.16 and 7,792.08 is: 11,680.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,948.64 : 31,403.16 = 7,792.08 : x
  2. Step 2: Convert to fraction form
    20,948.64/31,403.16 = 7,792.08/x
  3. Step 3: Cross multiply
    20,948.64x = 31,403.16 × 7,792.08
  4. Step 4: Simplify right side
    20,948.64x = 244,695,934.97
  5. Step 5: Solve for x
    x = 244,695,934.97/20,948.64
  6. Step 6: Final answer
    x = 11,680.76

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