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Finding the Fourth Proportional to 14,067.70, 19,411.27 and 8,098.21

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Solution

The fourth proportional to 14,067.70, 19,411.27 and 8,098.21 is: 11,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067.70 : 19,411.27 = 8,098.21 : x
  2. Step 2: Convert to fraction form
    14,067.70/19,411.27 = 8,098.21/x
  3. Step 3: Cross multiply
    14,067.70x = 19,411.27 × 8,098.21
  4. Step 4: Simplify right side
    14,067.70x = 157,196,544.85
  5. Step 5: Solve for x
    x = 157,196,544.85/14,067.70
  6. Step 6: Final answer
    x = 11,174.29

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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.