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Finding the Fourth Proportional to 22,717.56, 34,076.22 and 6,301.56

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Solution

The fourth proportional to 22,717.56, 34,076.22 and 6,301.56 is: 9,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,717.56 : 34,076.22 = 6,301.56 : x
  2. Step 2: Convert to fraction form
    22,717.56/34,076.22 = 6,301.56/x
  3. Step 3: Cross multiply
    22,717.56x = 34,076.22 × 6,301.56
  4. Step 4: Simplify right side
    22,717.56x = 214,733,344.90
  5. Step 5: Solve for x
    x = 214,733,344.90/22,717.56
  6. Step 6: Final answer
    x = 9,452.31

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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.