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Finding the Fourth Proportional to 13,822.50, 19,075.08 and 7,534.86

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Solution

The fourth proportional to 13,822.50, 19,075.08 and 7,534.86 is: 10,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.50 : 19,075.08 = 7,534.86 : x
  2. Step 2: Convert to fraction form
    13,822.50/19,075.08 = 7,534.86/x
  3. Step 3: Cross multiply
    13,822.50x = 19,075.08 × 7,534.86
  4. Step 4: Simplify right side
    13,822.50x = 143,728,057.29
  5. Step 5: Solve for x
    x = 143,728,057.29/13,822.50
  6. Step 6: Final answer
    x = 10,398.12

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