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Finding the Fourth Proportional to 17,781.72, 24,537.50 and 9,823.88

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Solution

The fourth proportional to 17,781.72, 24,537.50 and 9,823.88 is: 13,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.72 : 24,537.50 = 9,823.88 : x
  2. Step 2: Convert to fraction form
    17,781.72/24,537.50 = 9,823.88/x
  3. Step 3: Cross multiply
    17,781.72x = 24,537.50 × 9,823.88
  4. Step 4: Simplify right side
    17,781.72x = 241,053,455.50
  5. Step 5: Solve for x
    x = 241,053,455.50/17,781.72
  6. Step 6: Final answer
    x = 13,556.25

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