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Finding the Fourth Proportional to 20,824.29, 31,248.65 and 7,685.82

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Solution

The fourth proportional to 20,824.29, 31,248.65 and 7,685.82 is: 11,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,824.29 : 31,248.65 = 7,685.82 : x
  2. Step 2: Convert to fraction form
    20,824.29/31,248.65 = 7,685.82/x
  3. Step 3: Cross multiply
    20,824.29x = 31,248.65 × 7,685.82
  4. Step 4: Simplify right side
    20,824.29x = 240,171,499.14
  5. Step 5: Solve for x
    x = 240,171,499.14/20,824.29
  6. Step 6: Final answer
    x = 11,533.24

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