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Finding the Fourth Proportional to 15,824.80, 23,738.56 and 4,138

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Solution

The fourth proportional to 15,824.80, 23,738.56 and 4,138 is: 6,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824.80 : 23,738.56 = 4,138 : x
  2. Step 2: Convert to fraction form
    15,824.80/23,738.56 = 4,138/x
  3. Step 3: Cross multiply
    15,824.80x = 23,738.56 × 4,138
  4. Step 4: Simplify right side
    15,824.80x = 98,230,140.59
  5. Step 5: Solve for x
    x = 98,230,140.59/15,824.80
  6. Step 6: Final answer
    x = 6,207.35

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