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Finding the Fourth Proportional to 20,297.74, 30,445.92 and 7,149.77

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Solution

The fourth proportional to 20,297.74, 30,445.92 and 7,149.77 is: 10,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.74 : 30,445.92 = 7,149.77 : x
  2. Step 2: Convert to fraction form
    20,297.74/30,445.92 = 7,149.77/x
  3. Step 3: Cross multiply
    20,297.74x = 30,445.92 × 7,149.77
  4. Step 4: Simplify right side
    20,297.74x = 217,681,173.21
  5. Step 5: Solve for x
    x = 217,681,173.21/20,297.74
  6. Step 6: Final answer
    x = 10,724.41

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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.