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Finding the Fourth Proportional to 17,105.50, 25,662.93 and 8,228.26

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Solution

The fourth proportional to 17,105.50, 25,662.93 and 8,228.26 is: 12,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,105.50 : 25,662.93 = 8,228.26 : x
  2. Step 2: Convert to fraction form
    17,105.50/25,662.93 = 8,228.26/x
  3. Step 3: Cross multiply
    17,105.50x = 25,662.93 × 8,228.26
  4. Step 4: Simplify right side
    17,105.50x = 211,161,158.22
  5. Step 5: Solve for x
    x = 211,161,158.22/17,105.50
  6. Step 6: Final answer
    x = 12,344.63

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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.