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Finding the Fourth Proportional to 17,081, 25,625.82 and 4,769

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Solution

The fourth proportional to 17,081, 25,625.82 and 4,769 is: 7,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,081 : 25,625.82 = 4,769 : x
  2. Step 2: Convert to fraction form
    17,081/25,625.82 = 4,769/x
  3. Step 3: Cross multiply
    17,081x = 25,625.82 × 4,769
  4. Step 4: Simplify right side
    17,081x = 122,209,535.58
  5. Step 5: Solve for x
    x = 122,209,535.58/17,081
  6. Step 6: Final answer
    x = 7,154.71

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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.