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Finding the Fourth Proportional to 20,224.77, 30,350.82 and 7,077.25

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Solution

The fourth proportional to 20,224.77, 30,350.82 and 7,077.25 is: 10,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.77 : 30,350.82 = 7,077.25 : x
  2. Step 2: Convert to fraction form
    20,224.77/30,350.82 = 7,077.25/x
  3. Step 3: Cross multiply
    20,224.77x = 30,350.82 × 7,077.25
  4. Step 4: Simplify right side
    20,224.77x = 214,800,405.32
  5. Step 5: Solve for x
    x = 214,800,405.32/20,224.77
  6. Step 6: Final answer
    x = 10,620.66

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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.