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Finding the Fourth Proportional to 13,823.71, 19,077.20 and 7,855.63

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Solution

The fourth proportional to 13,823.71, 19,077.20 and 7,855.63 is: 10,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.71 : 19,077.20 = 7,855.63 : x
  2. Step 2: Convert to fraction form
    13,823.71/19,077.20 = 7,855.63/x
  3. Step 3: Cross multiply
    13,823.71x = 19,077.20 × 7,855.63
  4. Step 4: Simplify right side
    13,823.71x = 149,863,424.64
  5. Step 5: Solve for x
    x = 149,863,424.64/13,823.71
  6. Step 6: Final answer
    x = 10,841.04

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