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Finding the Fourth Proportional to 17,324.34, 25,984.05 and 6,229.41

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Solution

The fourth proportional to 17,324.34, 25,984.05 and 6,229.41 is: 9,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,324.34 : 25,984.05 = 6,229.41 : x
  2. Step 2: Convert to fraction form
    17,324.34/25,984.05 = 6,229.41/x
  3. Step 3: Cross multiply
    17,324.34x = 25,984.05 × 6,229.41
  4. Step 4: Simplify right side
    17,324.34x = 161,865,300.91
  5. Step 5: Solve for x
    x = 161,865,300.91/17,324.34
  6. Step 6: Final answer
    x = 9,343.23

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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.