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Finding the Fourth Proportional to 17.40, 23.99 and 12.54

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Solution

The fourth proportional to 17.40, 23.99 and 12.54 is: 17.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.40 : 23.99 = 12.54 : x
  2. Step 2: Convert to fraction form
    17.40/23.99 = 12.54/x
  3. Step 3: Cross multiply
    17.40x = 23.99 × 12.54
  4. Step 4: Simplify right side
    17.40x = 300.83
  5. Step 5: Solve for x
    x = 300.83/17.40
  6. Step 6: Final answer
    x = 17.29

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Why These Related Problems?

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