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Finding the Fourth Proportional to 17.69, 24.40 and 10.41

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Solution

The fourth proportional to 17.69, 24.40 and 10.41 is: 14.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.69 : 24.40 = 10.41 : x
  2. Step 2: Convert to fraction form
    17.69/24.40 = 10.41/x
  3. Step 3: Cross multiply
    17.69x = 24.40 × 10.41
  4. Step 4: Simplify right side
    17.69x = 253.83
  5. Step 5: Solve for x
    x = 253.83/17.69
  6. Step 6: Final answer
    x = 14.35

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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.