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Finding the Fourth Proportional to 14,771.92, 20,375.40 and 11,782.48

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Solution

The fourth proportional to 14,771.92, 20,375.40 and 11,782.48 is: 16,251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.92 : 20,375.40 = 11,782.48 : x
  2. Step 2: Convert to fraction form
    14,771.92/20,375.40 = 11,782.48/x
  3. Step 3: Cross multiply
    14,771.92x = 20,375.40 × 11,782.48
  4. Step 4: Simplify right side
    14,771.92x = 240,072,742.99
  5. Step 5: Solve for x
    x = 240,072,742.99/14,771.92
  6. Step 6: Final answer
    x = 16,251.97

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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.