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Finding the Fourth Proportional to 20,504.32, 30,769.44 and 11,756.32

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Solution

The fourth proportional to 20,504.32, 30,769.44 and 11,756.32 is: 17,641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,504.32 : 30,769.44 = 11,756.32 : x
  2. Step 2: Convert to fraction form
    20,504.32/30,769.44 = 11,756.32/x
  3. Step 3: Cross multiply
    20,504.32x = 30,769.44 × 11,756.32
  4. Step 4: Simplify right side
    20,504.32x = 361,735,261.85
  5. Step 5: Solve for x
    x = 361,735,261.85/20,504.32
  6. Step 6: Final answer
    x = 17,641.91

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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.