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Finding the Fourth Proportional to 17,906.25, 26,871.75 and 6,219.48

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Solution

The fourth proportional to 17,906.25, 26,871.75 and 6,219.48 is: 9,333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.25 : 26,871.75 = 6,219.48 : x
  2. Step 2: Convert to fraction form
    17,906.25/26,871.75 = 6,219.48/x
  3. Step 3: Cross multiply
    17,906.25x = 26,871.75 × 6,219.48
  4. Step 4: Simplify right side
    17,906.25x = 167,128,311.69
  5. Step 5: Solve for x
    x = 167,128,311.69/17,906.25
  6. Step 6: Final answer
    x = 9,333.52

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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.