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Finding the Fourth Proportional to 20,497.26, 30,676.39 and 12,604.74

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Solution

The fourth proportional to 20,497.26, 30,676.39 and 12,604.74 is: 18,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.26 : 30,676.39 = 12,604.74 : x
  2. Step 2: Convert to fraction form
    20,497.26/30,676.39 = 12,604.74/x
  3. Step 3: Cross multiply
    20,497.26x = 30,676.39 × 12,604.74
  4. Step 4: Simplify right side
    20,497.26x = 386,667,920.09
  5. Step 5: Solve for x
    x = 386,667,920.09/20,497.26
  6. Step 6: Final answer
    x = 18,864.37

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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.