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Finding the Fourth Proportional to 20,874.44, 31,321.77 and 9,186.14

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Solution

The fourth proportional to 20,874.44, 31,321.77 and 9,186.14 is: 13,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.44 : 31,321.77 = 9,186.14 : x
  2. Step 2: Convert to fraction form
    20,874.44/31,321.77 = 9,186.14/x
  3. Step 3: Cross multiply
    20,874.44x = 31,321.77 × 9,186.14
  4. Step 4: Simplify right side
    20,874.44x = 287,726,164.27
  5. Step 5: Solve for x
    x = 287,726,164.27/20,874.44
  6. Step 6: Final answer
    x = 13,783.66

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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.