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Finding the Fourth Proportional to 25,852.78, 38,777.01 and 10,266.22

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Solution

The fourth proportional to 25,852.78, 38,777.01 and 10,266.22 is: 15,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852.78 : 38,777.01 = 10,266.22 : x
  2. Step 2: Convert to fraction form
    25,852.78/38,777.01 = 10,266.22/x
  3. Step 3: Cross multiply
    25,852.78x = 38,777.01 × 10,266.22
  4. Step 4: Simplify right side
    25,852.78x = 398,093,315.60
  5. Step 5: Solve for x
    x = 398,093,315.60/25,852.78
  6. Step 6: Final answer
    x = 15,398.47

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