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Finding the Fourth Proportional to 17,241.28, 25,862 and 6,853

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Solution

The fourth proportional to 17,241.28, 25,862 and 6,853 is: 10,279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,241.28 : 25,862 = 6,853 : x
  2. Step 2: Convert to fraction form
    17,241.28/25,862 = 6,853/x
  3. Step 3: Cross multiply
    17,241.28x = 25,862 × 6,853
  4. Step 4: Simplify right side
    17,241.28x = 177,232,286
  5. Step 5: Solve for x
    x = 177,232,286/17,241.28
  6. Step 6: Final answer
    x = 10,279.53

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Why These Related Problems?

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