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Finding the Fourth Proportional to 20,846.25, 28,767.83 and 11,414.84

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Solution

The fourth proportional to 20,846.25, 28,767.83 and 11,414.84 is: 15,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,846.25 : 28,767.83 = 11,414.84 : x
  2. Step 2: Convert to fraction form
    20,846.25/28,767.83 = 11,414.84/x
  3. Step 3: Cross multiply
    20,846.25x = 28,767.83 × 11,414.84
  4. Step 4: Simplify right side
    20,846.25x = 328,379,975.68
  5. Step 5: Solve for x
    x = 328,379,975.68/20,846.25
  6. Step 6: Final answer
    x = 15,752.47

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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.