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Finding the Fourth Proportional to 24.66, 36.71 and 24.34

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Solution

The fourth proportional to 24.66, 36.71 and 24.34 is: 36.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.66 : 36.71 = 24.34 : x
  2. Step 2: Convert to fraction form
    24.66/36.71 = 24.34/x
  3. Step 3: Cross multiply
    24.66x = 36.71 × 24.34
  4. Step 4: Simplify right side
    24.66x = 893.52
  5. Step 5: Solve for x
    x = 893.52/24.66
  6. Step 6: Final answer
    x = 36.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.