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Finding the Fourth Proportional to 25,738.53, 38,599.58 and 8,204.25

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Solution

The fourth proportional to 25,738.53, 38,599.58 and 8,204.25 is: 12,303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,738.53 : 38,599.58 = 8,204.25 : x
  2. Step 2: Convert to fraction form
    25,738.53/38,599.58 = 8,204.25/x
  3. Step 3: Cross multiply
    25,738.53x = 38,599.58 × 8,204.25
  4. Step 4: Simplify right side
    25,738.53x = 316,680,563.19
  5. Step 5: Solve for x
    x = 316,680,563.19/25,738.53
  6. Step 6: Final answer
    x = 12,303.75

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