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Finding the Fourth Proportional to 10.24, 15.38 and 9.74

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Solution

The fourth proportional to 10.24, 15.38 and 9.74 is: 14.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.24 : 15.38 = 9.74 : x
  2. Step 2: Convert to fraction form
    10.24/15.38 = 9.74/x
  3. Step 3: Cross multiply
    10.24x = 15.38 × 9.74
  4. Step 4: Simplify right side
    10.24x = 149.80
  5. Step 5: Solve for x
    x = 149.80/10.24
  6. Step 6: Final answer
    x = 14.63

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