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Finding the Fourth Proportional to 13,764.75, 20,650.02 and 7,189.17

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Solution

The fourth proportional to 13,764.75, 20,650.02 and 7,189.17 is: 10,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.75 : 20,650.02 = 7,189.17 : x
  2. Step 2: Convert to fraction form
    13,764.75/20,650.02 = 7,189.17/x
  3. Step 3: Cross multiply
    13,764.75x = 20,650.02 × 7,189.17
  4. Step 4: Simplify right side
    13,764.75x = 148,456,504.28
  5. Step 5: Solve for x
    x = 148,456,504.28/13,764.75
  6. Step 6: Final answer
    x = 10,785.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.