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Finding the Fourth Proportional to 10,496.38, 15,733.01 and 9,266.80

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Solution

The fourth proportional to 10,496.38, 15,733.01 and 9,266.80 is: 13,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.38 : 15,733.01 = 9,266.80 : x
  2. Step 2: Convert to fraction form
    10,496.38/15,733.01 = 9,266.80/x
  3. Step 3: Cross multiply
    10,496.38x = 15,733.01 × 9,266.80
  4. Step 4: Simplify right side
    10,496.38x = 145,794,657.07
  5. Step 5: Solve for x
    x = 145,794,657.07/10,496.38
  6. Step 6: Final answer
    x = 13,889.99

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