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Finding the Fourth Proportional to 13,822.54, 19,075.62 and 7,855.22

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Solution

The fourth proportional to 13,822.54, 19,075.62 and 7,855.22 is: 10,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.54 : 19,075.62 = 7,855.22 : x
  2. Step 2: Convert to fraction form
    13,822.54/19,075.62 = 7,855.22/x
  3. Step 3: Cross multiply
    13,822.54x = 19,075.62 × 7,855.22
  4. Step 4: Simplify right side
    13,822.54x = 149,843,191.74
  5. Step 5: Solve for x
    x = 149,843,191.74/13,822.54
  6. Step 6: Final answer
    x = 10,840.50

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