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Finding the Fourth Proportional to 17,048, 25,570.98 and 8,169.68

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Solution

The fourth proportional to 17,048, 25,570.98 and 8,169.68 is: 12,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,048 : 25,570.98 = 8,169.68 : x
  2. Step 2: Convert to fraction form
    17,048/25,570.98 = 8,169.68/x
  3. Step 3: Cross multiply
    17,048x = 25,570.98 × 8,169.68
  4. Step 4: Simplify right side
    17,048x = 208,906,723.89
  5. Step 5: Solve for x
    x = 208,906,723.89/17,048
  6. Step 6: Final answer
    x = 12,254.03

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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.