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Finding the Fourth Proportional to 14,782.14, 20,398.96 and 8,067.85

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Solution

The fourth proportional to 14,782.14, 20,398.96 and 8,067.85 is: 11,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.14 : 20,398.96 = 8,067.85 : x
  2. Step 2: Convert to fraction form
    14,782.14/20,398.96 = 8,067.85/x
  3. Step 3: Cross multiply
    14,782.14x = 20,398.96 × 8,067.85
  4. Step 4: Simplify right side
    14,782.14x = 164,575,749.44
  5. Step 5: Solve for x
    x = 164,575,749.44/14,782.14
  6. Step 6: Final answer
    x = 11,133.42

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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.