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Finding the Fourth Proportional to 20,919.68, 31,384.96 and 7,775.84

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Solution

The fourth proportional to 20,919.68, 31,384.96 and 7,775.84 is: 11,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,919.68 : 31,384.96 = 7,775.84 : x
  2. Step 2: Convert to fraction form
    20,919.68/31,384.96 = 7,775.84/x
  3. Step 3: Cross multiply
    20,919.68x = 31,384.96 × 7,775.84
  4. Step 4: Simplify right side
    20,919.68x = 244,044,427.37
  5. Step 5: Solve for x
    x = 244,044,427.37/20,919.68
  6. Step 6: Final answer
    x = 11,665.78

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