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Finding the Fourth Proportional to 20,135.64, 30,189.68 and 10,255.80

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Solution

The fourth proportional to 20,135.64, 30,189.68 and 10,255.80 is: 15,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135.64 : 30,189.68 = 10,255.80 : x
  2. Step 2: Convert to fraction form
    20,135.64/30,189.68 = 10,255.80/x
  3. Step 3: Cross multiply
    20,135.64x = 30,189.68 × 10,255.80
  4. Step 4: Simplify right side
    20,135.64x = 309,619,320.14
  5. Step 5: Solve for x
    x = 309,619,320.14/20,135.64
  6. Step 6: Final answer
    x = 15,376.68

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