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Finding the Fourth Proportional to 25,538.94, 38,229.21 and 13,823.10

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Solution

The fourth proportional to 25,538.94, 38,229.21 and 13,823.10 is: 20,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,538.94 : 38,229.21 = 13,823.10 : x
  2. Step 2: Convert to fraction form
    25,538.94/38,229.21 = 13,823.10/x
  3. Step 3: Cross multiply
    25,538.94x = 38,229.21 × 13,823.10
  4. Step 4: Simplify right side
    25,538.94x = 528,446,192.75
  5. Step 5: Solve for x
    x = 528,446,192.75/25,538.94
  6. Step 6: Final answer
    x = 20,691.78

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