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Finding the Fourth Proportional to 14,213.81, 19,614.57 and 7,840.65

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Solution

The fourth proportional to 14,213.81, 19,614.57 and 7,840.65 is: 10,819.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.81 : 19,614.57 = 7,840.65 : x
  2. Step 2: Convert to fraction form
    14,213.81/19,614.57 = 7,840.65/x
  3. Step 3: Cross multiply
    14,213.81x = 19,614.57 × 7,840.65
  4. Step 4: Simplify right side
    14,213.81x = 153,790,978.27
  5. Step 5: Solve for x
    x = 153,790,978.27/14,213.81
  6. Step 6: Final answer
    x = 10,819.83

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