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Finding the Fourth Proportional to 20,682, 28,546.22 and 11,734.74

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Solution

The fourth proportional to 20,682, 28,546.22 and 11,734.74 is: 16,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682 : 28,546.22 = 11,734.74 : x
  2. Step 2: Convert to fraction form
    20,682/28,546.22 = 11,734.74/x
  3. Step 3: Cross multiply
    20,682x = 28,546.22 × 11,734.74
  4. Step 4: Simplify right side
    20,682x = 334,982,411.01
  5. Step 5: Solve for x
    x = 334,982,411.01/20,682
  6. Step 6: Final answer
    x = 16,196.81

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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.