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Finding the Fourth Proportional to 26,538.09, 39,822.65 and 9,909.60

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Solution

The fourth proportional to 26,538.09, 39,822.65 and 9,909.60 is: 14,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,538.09 : 39,822.65 = 9,909.60 : x
  2. Step 2: Convert to fraction form
    26,538.09/39,822.65 = 9,909.60/x
  3. Step 3: Cross multiply
    26,538.09x = 39,822.65 × 9,909.60
  4. Step 4: Simplify right side
    26,538.09x = 394,626,532.44
  5. Step 5: Solve for x
    x = 394,626,532.44/26,538.09
  6. Step 6: Final answer
    x = 14,870.19

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