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Finding the Fourth Proportional to 23,745.37, 35,604.90 and 9,715.25

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Solution

The fourth proportional to 23,745.37, 35,604.90 and 9,715.25 is: 14,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,745.37 : 35,604.90 = 9,715.25 : x
  2. Step 2: Convert to fraction form
    23,745.37/35,604.90 = 9,715.25/x
  3. Step 3: Cross multiply
    23,745.37x = 35,604.90 × 9,715.25
  4. Step 4: Simplify right side
    23,745.37x = 345,910,504.73
  5. Step 5: Solve for x
    x = 345,910,504.73/23,745.37
  6. Step 6: Final answer
    x = 14,567.49

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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.