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Finding the Fourth Proportional to 20,512.85, 30,769.43 and 7,365.34

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Solution

The fourth proportional to 20,512.85, 30,769.43 and 7,365.34 is: 11,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.85 : 30,769.43 = 7,365.34 : x
  2. Step 2: Convert to fraction form
    20,512.85/30,769.43 = 7,365.34/x
  3. Step 3: Cross multiply
    20,512.85x = 30,769.43 × 7,365.34
  4. Step 4: Simplify right side
    20,512.85x = 226,627,313.56
  5. Step 5: Solve for x
    x = 226,627,313.56/20,512.85
  6. Step 6: Final answer
    x = 11,048.07

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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.