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Finding the Fourth Proportional to 20,347.86, 30,541.52 and 9,825.30

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Solution

The fourth proportional to 20,347.86, 30,541.52 and 9,825.30 is: 14,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,347.86 : 30,541.52 = 9,825.30 : x
  2. Step 2: Convert to fraction form
    20,347.86/30,541.52 = 9,825.30/x
  3. Step 3: Cross multiply
    20,347.86x = 30,541.52 × 9,825.30
  4. Step 4: Simplify right side
    20,347.86x = 300,079,596.46
  5. Step 5: Solve for x
    x = 300,079,596.46/20,347.86
  6. Step 6: Final answer
    x = 14,747.48

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