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Finding the Fourth Proportional to 13,815.27, 19,067.52 and 8,149.68

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Solution

The fourth proportional to 13,815.27, 19,067.52 and 8,149.68 is: 11,248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.27 : 19,067.52 = 8,149.68 : x
  2. Step 2: Convert to fraction form
    13,815.27/19,067.52 = 8,149.68/x
  3. Step 3: Cross multiply
    13,815.27x = 19,067.52 × 8,149.68
  4. Step 4: Simplify right side
    13,815.27x = 155,394,186.39
  5. Step 5: Solve for x
    x = 155,394,186.39/13,815.27
  6. Step 6: Final answer
    x = 11,248.00

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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.