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Finding the Fourth Proportional to 20,057.70, 27,672.41 and 12,097.02

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Solution

The fourth proportional to 20,057.70, 27,672.41 and 12,097.02 is: 16,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.70 : 27,672.41 = 12,097.02 : x
  2. Step 2: Convert to fraction form
    20,057.70/27,672.41 = 12,097.02/x
  3. Step 3: Cross multiply
    20,057.70x = 27,672.41 × 12,097.02
  4. Step 4: Simplify right side
    20,057.70x = 334,753,697.22
  5. Step 5: Solve for x
    x = 334,753,697.22/20,057.70
  6. Step 6: Final answer
    x = 16,689.54

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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.