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Finding the Fourth Proportional to 29,697.27, 40,982.49 and 17,122.02

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Solution

The fourth proportional to 29,697.27, 40,982.49 and 17,122.02 is: 23,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.27 : 40,982.49 = 17,122.02 : x
  2. Step 2: Convert to fraction form
    29,697.27/40,982.49 = 17,122.02/x
  3. Step 3: Cross multiply
    29,697.27x = 40,982.49 × 17,122.02
  4. Step 4: Simplify right side
    29,697.27x = 701,703,013.43
  5. Step 5: Solve for x
    x = 701,703,013.43/29,697.27
  6. Step 6: Final answer
    x = 23,628.54

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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.