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Finding the Fourth Proportional to 22,857.76, 31,546.32 and 12,788.75

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Solution

The fourth proportional to 22,857.76, 31,546.32 and 12,788.75 is: 17,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.76 : 31,546.32 = 12,788.75 : x
  2. Step 2: Convert to fraction form
    22,857.76/31,546.32 = 12,788.75/x
  3. Step 3: Cross multiply
    22,857.76x = 31,546.32 × 12,788.75
  4. Step 4: Simplify right side
    22,857.76x = 403,437,842.17
  5. Step 5: Solve for x
    x = 403,437,842.17/22,857.76
  6. Step 6: Final answer
    x = 17,649.93

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