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Finding the Fourth Proportional to 17,112.68, 25,670.64 and 6,722

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Solution

The fourth proportional to 17,112.68, 25,670.64 and 6,722 is: 10,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,112.68 : 25,670.64 = 6,722 : x
  2. Step 2: Convert to fraction form
    17,112.68/25,670.64 = 6,722/x
  3. Step 3: Cross multiply
    17,112.68x = 25,670.64 × 6,722
  4. Step 4: Simplify right side
    17,112.68x = 172,558,042.08
  5. Step 5: Solve for x
    x = 172,558,042.08/17,112.68
  6. Step 6: Final answer
    x = 10,083.64

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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.