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Finding the Fourth Proportional to 25.09, 34.62 and 14.17

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Solution

The fourth proportional to 25.09, 34.62 and 14.17 is: 19.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.09 : 34.62 = 14.17 : x
  2. Step 2: Convert to fraction form
    25.09/34.62 = 14.17/x
  3. Step 3: Cross multiply
    25.09x = 34.62 × 14.17
  4. Step 4: Simplify right side
    25.09x = 490.76
  5. Step 5: Solve for x
    x = 490.76/25.09
  6. Step 6: Final answer
    x = 19.56

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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.