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Finding the Fourth Proportional to 12,538.64, 18,784.90 and 7,857.78

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Solution

The fourth proportional to 12,538.64, 18,784.90 and 7,857.78 is: 11,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.64 : 18,784.90 = 7,857.78 : x
  2. Step 2: Convert to fraction form
    12,538.64/18,784.90 = 7,857.78/x
  3. Step 3: Cross multiply
    12,538.64x = 18,784.90 × 7,857.78
  4. Step 4: Simplify right side
    12,538.64x = 147,607,550.90
  5. Step 5: Solve for x
    x = 147,607,550.90/12,538.64
  6. Step 6: Final answer
    x = 11,772.21

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