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Finding the Fourth Proportional to 17,297.51, 25,949.91 and 5,609.82

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Solution

The fourth proportional to 17,297.51, 25,949.91 and 5,609.82 is: 8,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,297.51 : 25,949.91 = 5,609.82 : x
  2. Step 2: Convert to fraction form
    17,297.51/25,949.91 = 5,609.82/x
  3. Step 3: Cross multiply
    17,297.51x = 25,949.91 × 5,609.82
  4. Step 4: Simplify right side
    17,297.51x = 145,574,324.12
  5. Step 5: Solve for x
    x = 145,574,324.12/17,297.51
  6. Step 6: Final answer
    x = 8,415.91

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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.