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Finding the Fourth Proportional to 20,074.77, 27,704.14 and 12,116.83

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Solution

The fourth proportional to 20,074.77, 27,704.14 and 12,116.83 is: 16,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,074.77 : 27,704.14 = 12,116.83 : x
  2. Step 2: Convert to fraction form
    20,074.77/27,704.14 = 12,116.83/x
  3. Step 3: Cross multiply
    20,074.77x = 27,704.14 × 12,116.83
  4. Step 4: Simplify right side
    20,074.77x = 335,686,354.68
  5. Step 5: Solve for x
    x = 335,686,354.68/20,074.77
  6. Step 6: Final answer
    x = 16,721.80

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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.