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Finding the Fourth Proportional to 17,169, 25,757.82 and 4,857

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Solution

The fourth proportional to 17,169, 25,757.82 and 4,857 is: 7,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,169 : 25,757.82 = 4,857 : x
  2. Step 2: Convert to fraction form
    17,169/25,757.82 = 4,857/x
  3. Step 3: Cross multiply
    17,169x = 25,757.82 × 4,857
  4. Step 4: Simplify right side
    17,169x = 125,105,731.74
  5. Step 5: Solve for x
    x = 125,105,731.74/17,169
  6. Step 6: Final answer
    x = 7,286.72

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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.