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Finding the Fourth Proportional to 20,509.58, 30,768.96 and 11,158.04

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Solution

The fourth proportional to 20,509.58, 30,768.96 and 11,158.04 is: 16,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.58 : 30,768.96 = 11,158.04 : x
  2. Step 2: Convert to fraction form
    20,509.58/30,768.96 = 11,158.04/x
  3. Step 3: Cross multiply
    20,509.58x = 30,768.96 × 11,158.04
  4. Step 4: Simplify right side
    20,509.58x = 343,321,286.44
  5. Step 5: Solve for x
    x = 343,321,286.44/20,509.58
  6. Step 6: Final answer
    x = 16,739.56

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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.