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Finding the Fourth Proportional to 17,585.56, 24,279.78 and 13,823.92

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Solution

The fourth proportional to 17,585.56, 24,279.78 and 13,823.92 is: 19,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.56 : 24,279.78 = 13,823.92 : x
  2. Step 2: Convert to fraction form
    17,585.56/24,279.78 = 13,823.92/x
  3. Step 3: Cross multiply
    17,585.56x = 24,279.78 × 13,823.92
  4. Step 4: Simplify right side
    17,585.56x = 335,641,736.34
  5. Step 5: Solve for x
    x = 335,641,736.34/17,585.56
  6. Step 6: Final answer
    x = 19,086.21

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