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Finding the Fourth Proportional to 25.80, 38.63 and 23.24

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Solution

The fourth proportional to 25.80, 38.63 and 23.24 is: 34.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.80 : 38.63 = 23.24 : x
  2. Step 2: Convert to fraction form
    25.80/38.63 = 23.24/x
  3. Step 3: Cross multiply
    25.80x = 38.63 × 23.24
  4. Step 4: Simplify right side
    25.80x = 897.45
  5. Step 5: Solve for x
    x = 897.45/25.80
  6. Step 6: Final answer
    x = 34.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.