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Finding the Fourth Proportional to 14,067.40, 19,411.54 and 8,097.88

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Solution

The fourth proportional to 14,067.40, 19,411.54 and 8,097.88 is: 11,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067.40 : 19,411.54 = 8,097.88 : x
  2. Step 2: Convert to fraction form
    14,067.40/19,411.54 = 8,097.88/x
  3. Step 3: Cross multiply
    14,067.40x = 19,411.54 × 8,097.88
  4. Step 4: Simplify right side
    14,067.40x = 157,192,321.54
  5. Step 5: Solve for x
    x = 157,192,321.54/14,067.40
  6. Step 6: Final answer
    x = 11,174.23

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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.