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Finding the Fourth Proportional to 13,822.59, 19,075.22 and 7,856.24

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Solution

The fourth proportional to 13,822.59, 19,075.22 and 7,856.24 is: 10,841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.59 : 19,075.22 = 7,856.24 : x
  2. Step 2: Convert to fraction form
    13,822.59/19,075.22 = 7,856.24/x
  3. Step 3: Cross multiply
    13,822.59x = 19,075.22 × 7,856.24
  4. Step 4: Simplify right side
    13,822.59x = 149,859,506.37
  5. Step 5: Solve for x
    x = 149,859,506.37/13,822.59
  6. Step 6: Final answer
    x = 10,841.64

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