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Finding the Fourth Proportional to 20,345.86, 30,538.52 and 9,823.30

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Solution

The fourth proportional to 20,345.86, 30,538.52 and 9,823.30 is: 14,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,345.86 : 30,538.52 = 9,823.30 : x
  2. Step 2: Convert to fraction form
    20,345.86/30,538.52 = 9,823.30/x
  3. Step 3: Cross multiply
    20,345.86x = 30,538.52 × 9,823.30
  4. Step 4: Simplify right side
    20,345.86x = 299,989,126.67
  5. Step 5: Solve for x
    x = 299,989,126.67/20,345.86
  6. Step 6: Final answer
    x = 14,744.48

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