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Finding the Fourth Proportional to 15,538.42, 23,314.92 and 7,747.84

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Solution

The fourth proportional to 15,538.42, 23,314.92 and 7,747.84 is: 11,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538.42 : 23,314.92 = 7,747.84 : x
  2. Step 2: Convert to fraction form
    15,538.42/23,314.92 = 7,747.84/x
  3. Step 3: Cross multiply
    15,538.42x = 23,314.92 × 7,747.84
  4. Step 4: Simplify right side
    15,538.42x = 180,640,269.77
  5. Step 5: Solve for x
    x = 180,640,269.77/15,538.42
  6. Step 6: Final answer
    x = 11,625.39

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