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Finding the Fourth Proportional to 27,838.74, 41,760.70 and 9,118.92

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Solution

The fourth proportional to 27,838.74, 41,760.70 and 9,118.92 is: 13,679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.74 : 41,760.70 = 9,118.92 : x
  2. Step 2: Convert to fraction form
    27,838.74/41,760.70 = 9,118.92/x
  3. Step 3: Cross multiply
    27,838.74x = 41,760.70 × 9,118.92
  4. Step 4: Simplify right side
    27,838.74x = 380,812,482.44
  5. Step 5: Solve for x
    x = 380,812,482.44/27,838.74
  6. Step 6: Final answer
    x = 13,679.23

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