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Finding the Fourth Proportional to 17,382.14, 23,978.48 and 10,997.97

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Solution

The fourth proportional to 17,382.14, 23,978.48 and 10,997.97 is: 15,171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.14 : 23,978.48 = 10,997.97 : x
  2. Step 2: Convert to fraction form
    17,382.14/23,978.48 = 10,997.97/x
  3. Step 3: Cross multiply
    17,382.14x = 23,978.48 × 10,997.97
  4. Step 4: Simplify right side
    17,382.14x = 263,714,548.70
  5. Step 5: Solve for x
    x = 263,714,548.70/17,382.14
  6. Step 6: Final answer
    x = 15,171.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.