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Finding the Fourth Proportional to 23,780.84, 35,672.79 and 7,985.23

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Solution

The fourth proportional to 23,780.84, 35,672.79 and 7,985.23 is: 11,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,780.84 : 35,672.79 = 7,985.23 : x
  2. Step 2: Convert to fraction form
    23,780.84/35,672.79 = 7,985.23/x
  3. Step 3: Cross multiply
    23,780.84x = 35,672.79 × 7,985.23
  4. Step 4: Simplify right side
    23,780.84x = 284,855,343.71
  5. Step 5: Solve for x
    x = 284,855,343.71/23,780.84
  6. Step 6: Final answer
    x = 11,978.36

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