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Finding the Fourth Proportional to 23,626, 35,435.35 and 7,837.89

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Solution

The fourth proportional to 23,626, 35,435.35 and 7,837.89 is: 11,755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,626 : 35,435.35 = 7,837.89 : x
  2. Step 2: Convert to fraction form
    23,626/35,435.35 = 7,837.89/x
  3. Step 3: Cross multiply
    23,626x = 35,435.35 × 7,837.89
  4. Step 4: Simplify right side
    23,626x = 277,738,375.41
  5. Step 5: Solve for x
    x = 277,738,375.41/23,626
  6. Step 6: Final answer
    x = 11,755.62

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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.