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Finding the Fourth Proportional to 27,823.74, 41,726.80 and 9,099.46

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Solution

The fourth proportional to 27,823.74, 41,726.80 and 9,099.46 is: 13,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,823.74 : 41,726.80 = 9,099.46 : x
  2. Step 2: Convert to fraction form
    27,823.74/41,726.80 = 9,099.46/x
  3. Step 3: Cross multiply
    27,823.74x = 41,726.80 × 9,099.46
  4. Step 4: Simplify right side
    27,823.74x = 379,691,347.53
  5. Step 5: Solve for x
    x = 379,691,347.53/27,823.74
  6. Step 6: Final answer
    x = 13,646.31

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