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Finding the Fourth Proportional to 20,051.75, 30,077.63 and 11,281.88

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Solution

The fourth proportional to 20,051.75, 30,077.63 and 11,281.88 is: 16,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051.75 : 30,077.63 = 11,281.88 : x
  2. Step 2: Convert to fraction form
    20,051.75/30,077.63 = 11,281.88/x
  3. Step 3: Cross multiply
    20,051.75x = 30,077.63 × 11,281.88
  4. Step 4: Simplify right side
    20,051.75x = 339,332,273.44
  5. Step 5: Solve for x
    x = 339,332,273.44/20,051.75
  6. Step 6: Final answer
    x = 16,922.82

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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.