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Finding the Fourth Proportional to 20,180, 30,297.82 and 13,925.18

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Solution

The fourth proportional to 20,180, 30,297.82 and 13,925.18 is: 20,906.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180 : 30,297.82 = 13,925.18 : x
  2. Step 2: Convert to fraction form
    20,180/30,297.82 = 13,925.18/x
  3. Step 3: Cross multiply
    20,180x = 30,297.82 × 13,925.18
  4. Step 4: Simplify right side
    20,180x = 421,902,597.11
  5. Step 5: Solve for x
    x = 421,902,597.11/20,180
  6. Step 6: Final answer
    x = 20,906.97

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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.