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Finding the Fourth Proportional to 23,328, 34,997.49 and 7,745.67

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Solution

The fourth proportional to 23,328, 34,997.49 and 7,745.67 is: 11,620.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,328 : 34,997.49 = 7,745.67 : x
  2. Step 2: Convert to fraction form
    23,328/34,997.49 = 7,745.67/x
  3. Step 3: Cross multiply
    23,328x = 34,997.49 × 7,745.67
  4. Step 4: Simplify right side
    23,328x = 271,079,008.37
  5. Step 5: Solve for x
    x = 271,079,008.37/23,328
  6. Step 6: Final answer
    x = 11,620.33

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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.