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Finding the Fourth Proportional to 20,970.78, 31,461.62 and 7,823.25

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Solution

The fourth proportional to 20,970.78, 31,461.62 and 7,823.25 is: 11,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970.78 : 31,461.62 = 7,823.25 : x
  2. Step 2: Convert to fraction form
    20,970.78/31,461.62 = 7,823.25/x
  3. Step 3: Cross multiply
    20,970.78x = 31,461.62 × 7,823.25
  4. Step 4: Simplify right side
    20,970.78x = 246,132,079.55
  5. Step 5: Solve for x
    x = 246,132,079.55/20,970.78
  6. Step 6: Final answer
    x = 11,736.91

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