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Finding the Fourth Proportional to 13,822.61, 19,075.14 and 7,534.98

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Solution

The fourth proportional to 13,822.61, 19,075.14 and 7,534.98 is: 10,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.61 : 19,075.14 = 7,534.98 : x
  2. Step 2: Convert to fraction form
    13,822.61/19,075.14 = 7,534.98/x
  3. Step 3: Cross multiply
    13,822.61x = 19,075.14 × 7,534.98
  4. Step 4: Simplify right side
    13,822.61x = 143,730,798.40
  5. Step 5: Solve for x
    x = 143,730,798.40/13,822.61
  6. Step 6: Final answer
    x = 10,398.24

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