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Finding the Fourth Proportional to 17,201, 23,737.22 and 9,749

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Solution

The fourth proportional to 17,201, 23,737.22 and 9,749 is: 13,453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201 : 23,737.22 = 9,749 : x
  2. Step 2: Convert to fraction form
    17,201/23,737.22 = 9,749/x
  3. Step 3: Cross multiply
    17,201x = 23,737.22 × 9,749
  4. Step 4: Simplify right side
    17,201x = 231,414,157.78
  5. Step 5: Solve for x
    x = 231,414,157.78/17,201
  6. Step 6: Final answer
    x = 13,453.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.