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Finding the Fourth Proportional to 20,820.26, 28,731.84 and 11,868.14

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Solution

The fourth proportional to 20,820.26, 28,731.84 and 11,868.14 is: 16,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,820.26 : 28,731.84 = 11,868.14 : x
  2. Step 2: Convert to fraction form
    20,820.26/28,731.84 = 11,868.14/x
  3. Step 3: Cross multiply
    20,820.26x = 28,731.84 × 11,868.14
  4. Step 4: Simplify right side
    20,820.26x = 340,993,499.58
  5. Step 5: Solve for x
    x = 340,993,499.58/20,820.26
  6. Step 6: Final answer
    x = 16,377.97

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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.