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Finding the Fourth Proportional to 17,326.56, 25,997.52 and 6,380

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Solution

The fourth proportional to 17,326.56, 25,997.52 and 6,380 is: 9,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,326.56 : 25,997.52 = 6,380 : x
  2. Step 2: Convert to fraction form
    17,326.56/25,997.52 = 6,380/x
  3. Step 3: Cross multiply
    17,326.56x = 25,997.52 × 6,380
  4. Step 4: Simplify right side
    17,326.56x = 165,864,177.60
  5. Step 5: Solve for x
    x = 165,864,177.60/17,326.56
  6. Step 6: Final answer
    x = 9,572.83

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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.