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Finding the Fourth Proportional to 17,323.56, 25,993.02 and 6,377

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Solution

The fourth proportional to 17,323.56, 25,993.02 and 6,377 is: 9,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,323.56 : 25,993.02 = 6,377 : x
  2. Step 2: Convert to fraction form
    17,323.56/25,993.02 = 6,377/x
  3. Step 3: Cross multiply
    17,323.56x = 25,993.02 × 6,377
  4. Step 4: Simplify right side
    17,323.56x = 165,757,488.54
  5. Step 5: Solve for x
    x = 165,757,488.54/17,323.56
  6. Step 6: Final answer
    x = 9,568.33

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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.