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Finding the Fourth Proportional to 20,186.93, 27,855.64 and 11,689.22

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Solution

The fourth proportional to 20,186.93, 27,855.64 and 11,689.22 is: 16,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.93 : 27,855.64 = 11,689.22 : x
  2. Step 2: Convert to fraction form
    20,186.93/27,855.64 = 11,689.22/x
  3. Step 3: Cross multiply
    20,186.93x = 27,855.64 × 11,689.22
  4. Step 4: Simplify right side
    20,186.93x = 325,610,704.20
  5. Step 5: Solve for x
    x = 325,610,704.20/20,186.93
  6. Step 6: Final answer
    x = 16,129.78

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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.