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Finding the Fourth Proportional to 24.36, 33.60 and 14.64

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Solution

The fourth proportional to 24.36, 33.60 and 14.64 is: 20.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.36 : 33.60 = 14.64 : x
  2. Step 2: Convert to fraction form
    24.36/33.60 = 14.64/x
  3. Step 3: Cross multiply
    24.36x = 33.60 × 14.64
  4. Step 4: Simplify right side
    24.36x = 491.90
  5. Step 5: Solve for x
    x = 491.90/24.36
  6. Step 6: Final answer
    x = 20.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.