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Finding the Fourth Proportional to 20,451.72, 30,676.70 and 6,411.46

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Solution

The fourth proportional to 20,451.72, 30,676.70 and 6,411.46 is: 9,616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451.72 : 30,676.70 = 6,411.46 : x
  2. Step 2: Convert to fraction form
    20,451.72/30,676.70 = 6,411.46/x
  3. Step 3: Cross multiply
    20,451.72x = 30,676.70 × 6,411.46
  4. Step 4: Simplify right side
    20,451.72x = 196,682,434.98
  5. Step 5: Solve for x
    x = 196,682,434.98/20,451.72
  6. Step 6: Final answer
    x = 9,616.91

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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.