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Finding the Fourth Proportional to 24.34, 33.50 and 19.14

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Solution

The fourth proportional to 24.34, 33.50 and 19.14 is: 26.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.34 : 33.50 = 19.14 : x
  2. Step 2: Convert to fraction form
    24.34/33.50 = 19.14/x
  3. Step 3: Cross multiply
    24.34x = 33.50 × 19.14
  4. Step 4: Simplify right side
    24.34x = 641.19
  5. Step 5: Solve for x
    x = 641.19/24.34
  6. Step 6: Final answer
    x = 26.34

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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.