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Finding the Fourth Proportional to 25,600, 38,415.12 and 10,807.96

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Solution

The fourth proportional to 25,600, 38,415.12 and 10,807.96 is: 16,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600 : 38,415.12 = 10,807.96 : x
  2. Step 2: Convert to fraction form
    25,600/38,415.12 = 10,807.96/x
  3. Step 3: Cross multiply
    25,600x = 38,415.12 × 10,807.96
  4. Step 4: Simplify right side
    25,600x = 415,189,080.36
  5. Step 5: Solve for x
    x = 415,189,080.36/25,600
  6. Step 6: Final answer
    x = 16,218.32

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