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Finding the Fourth Proportional to 25,846.40, 38,758.56 and 9,825.44

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Solution

The fourth proportional to 25,846.40, 38,758.56 and 9,825.44 is: 14,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,846.40 : 38,758.56 = 9,825.44 : x
  2. Step 2: Convert to fraction form
    25,846.40/38,758.56 = 9,825.44/x
  3. Step 3: Cross multiply
    25,846.40x = 38,758.56 × 9,825.44
  4. Step 4: Simplify right side
    25,846.40x = 380,819,905.77
  5. Step 5: Solve for x
    x = 380,819,905.77/25,846.40
  6. Step 6: Final answer
    x = 14,733.96

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