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Finding the Fourth Proportional to 17,117, 25,676.96 and 4,805

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Solution

The fourth proportional to 17,117, 25,676.96 and 4,805 is: 7,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,117 : 25,676.96 = 4,805 : x
  2. Step 2: Convert to fraction form
    17,117/25,676.96 = 4,805/x
  3. Step 3: Cross multiply
    17,117x = 25,676.96 × 4,805
  4. Step 4: Simplify right side
    17,117x = 123,377,792.80
  5. Step 5: Solve for x
    x = 123,377,792.80/17,117
  6. Step 6: Final answer
    x = 7,207.91

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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.