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Finding the Fourth Proportional to 17,168.63, 25,749.90 and 7,806.44

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Solution

The fourth proportional to 17,168.63, 25,749.90 and 7,806.44 is: 11,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,168.63 : 25,749.90 = 7,806.44 : x
  2. Step 2: Convert to fraction form
    17,168.63/25,749.90 = 7,806.44/x
  3. Step 3: Cross multiply
    17,168.63x = 25,749.90 × 7,806.44
  4. Step 4: Simplify right side
    17,168.63x = 201,015,113.73
  5. Step 5: Solve for x
    x = 201,015,113.73/17,168.63
  6. Step 6: Final answer
    x = 11,708.28

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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.