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Finding the Fourth Proportional to 13,685.31, 20,527.97 and 7,837.83

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Solution

The fourth proportional to 13,685.31, 20,527.97 and 7,837.83 is: 11,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.31 : 20,527.97 = 7,837.83 : x
  2. Step 2: Convert to fraction form
    13,685.31/20,527.97 = 7,837.83/x
  3. Step 3: Cross multiply
    13,685.31x = 20,527.97 × 7,837.83
  4. Step 4: Simplify right side
    13,685.31x = 160,894,699.92
  5. Step 5: Solve for x
    x = 160,894,699.92/13,685.31
  6. Step 6: Final answer
    x = 11,756.75

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