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Finding the Fourth Proportional to 20,827.76, 31,244.88 and 6,784.48

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Solution

The fourth proportional to 20,827.76, 31,244.88 and 6,784.48 is: 10,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827.76 : 31,244.88 = 6,784.48 : x
  2. Step 2: Convert to fraction form
    20,827.76/31,244.88 = 6,784.48/x
  3. Step 3: Cross multiply
    20,827.76x = 31,244.88 × 6,784.48
  4. Step 4: Simplify right side
    20,827.76x = 211,980,263.46
  5. Step 5: Solve for x
    x = 211,980,263.46/20,827.76
  6. Step 6: Final answer
    x = 10,177.78

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