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Finding the Fourth Proportional to 23,489.72, 35,229.46 and 7,907

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Solution

The fourth proportional to 23,489.72, 35,229.46 and 7,907 is: 11,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,489.72 : 35,229.46 = 7,907 : x
  2. Step 2: Convert to fraction form
    23,489.72/35,229.46 = 7,907/x
  3. Step 3: Cross multiply
    23,489.72x = 35,229.46 × 7,907
  4. Step 4: Simplify right side
    23,489.72x = 278,559,340.22
  5. Step 5: Solve for x
    x = 278,559,340.22/23,489.72
  6. Step 6: Final answer
    x = 11,858.78

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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.