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Finding the Fourth Proportional to 20,485.72, 30,735.94 and 7,160.66

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Solution

The fourth proportional to 20,485.72, 30,735.94 and 7,160.66 is: 10,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,485.72 : 30,735.94 = 7,160.66 : x
  2. Step 2: Convert to fraction form
    20,485.72/30,735.94 = 7,160.66/x
  3. Step 3: Cross multiply
    20,485.72x = 30,735.94 × 7,160.66
  4. Step 4: Simplify right side
    20,485.72x = 220,089,616.12
  5. Step 5: Solve for x
    x = 220,089,616.12/20,485.72
  6. Step 6: Final answer
    x = 10,743.56

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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.