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Finding the Fourth Proportional to 13,824.62, 19,077.98 and 7,856.30

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Solution

The fourth proportional to 13,824.62, 19,077.98 and 7,856.30 is: 10,841.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.62 : 19,077.98 = 7,856.30 : x
  2. Step 2: Convert to fraction form
    13,824.62/19,077.98 = 7,856.30/x
  3. Step 3: Cross multiply
    13,824.62x = 19,077.98 × 7,856.30
  4. Step 4: Simplify right side
    13,824.62x = 149,882,294.99
  5. Step 5: Solve for x
    x = 149,882,294.99/13,824.62
  6. Step 6: Final answer
    x = 10,841.69

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