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Finding the Fourth Proportional to 13,745.76, 18,968.64 and 7,777.20

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Solution

The fourth proportional to 13,745.76, 18,968.64 and 7,777.20 is: 10,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.76 : 18,968.64 = 7,777.20 : x
  2. Step 2: Convert to fraction form
    13,745.76/18,968.64 = 7,777.20/x
  3. Step 3: Cross multiply
    13,745.76x = 18,968.64 × 7,777.20
  4. Step 4: Simplify right side
    13,745.76x = 147,522,907.01
  5. Step 5: Solve for x
    x = 147,522,907.01/13,745.76
  6. Step 6: Final answer
    x = 10,732.25

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