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Finding the Fourth Proportional to 20,076.21, 27,704.42 and 11,578.68

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Solution

The fourth proportional to 20,076.21, 27,704.42 and 11,578.68 is: 15,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,076.21 : 27,704.42 = 11,578.68 : x
  2. Step 2: Convert to fraction form
    20,076.21/27,704.42 = 11,578.68/x
  3. Step 3: Cross multiply
    20,076.21x = 27,704.42 × 11,578.68
  4. Step 4: Simplify right side
    20,076.21x = 320,780,642.71
  5. Step 5: Solve for x
    x = 320,780,642.71/20,076.21
  6. Step 6: Final answer
    x = 15,978.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.