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Finding the Fourth Proportional to 23,830.62, 35,738.97 and 9,028.86

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Solution

The fourth proportional to 23,830.62, 35,738.97 and 9,028.86 is: 13,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.62 : 35,738.97 = 9,028.86 : x
  2. Step 2: Convert to fraction form
    23,830.62/35,738.97 = 9,028.86/x
  3. Step 3: Cross multiply
    23,830.62x = 35,738.97 × 9,028.86
  4. Step 4: Simplify right side
    23,830.62x = 322,682,156.67
  5. Step 5: Solve for x
    x = 322,682,156.67/23,830.62
  6. Step 6: Final answer
    x = 13,540.65

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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.