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Finding the Fourth Proportional to 22.64, 31.24 and 17.80

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Solution

The fourth proportional to 22.64, 31.24 and 17.80 is: 24.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.64 : 31.24 = 17.80 : x
  2. Step 2: Convert to fraction form
    22.64/31.24 = 17.80/x
  3. Step 3: Cross multiply
    22.64x = 31.24 × 17.80
  4. Step 4: Simplify right side
    22.64x = 556.07
  5. Step 5: Solve for x
    x = 556.07/22.64
  6. Step 6: Final answer
    x = 24.56

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