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Finding the Fourth Proportional to 20,843.75, 28,767.12 and 11,889.20

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Solution

The fourth proportional to 20,843.75, 28,767.12 and 11,889.20 is: 16,408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.75 : 28,767.12 = 11,889.20 : x
  2. Step 2: Convert to fraction form
    20,843.75/28,767.12 = 11,889.20/x
  3. Step 3: Cross multiply
    20,843.75x = 28,767.12 × 11,889.20
  4. Step 4: Simplify right side
    20,843.75x = 342,018,043.10
  5. Step 5: Solve for x
    x = 342,018,043.10/20,843.75
  6. Step 6: Final answer
    x = 16,408.66

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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.