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Finding the Fourth Proportional to 26,824.80, 40,208.40 and 10,178.40

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Solution

The fourth proportional to 26,824.80, 40,208.40 and 10,178.40 is: 15,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,824.80 : 40,208.40 = 10,178.40 : x
  2. Step 2: Convert to fraction form
    26,824.80/40,208.40 = 10,178.40/x
  3. Step 3: Cross multiply
    26,824.80x = 40,208.40 × 10,178.40
  4. Step 4: Simplify right side
    26,824.80x = 409,257,178.56
  5. Step 5: Solve for x
    x = 409,257,178.56/26,824.80
  6. Step 6: Final answer
    x = 15,256.67

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