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Finding the Fourth Proportional to 13,817.33, 19,067.92 and 8,152.14

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Solution

The fourth proportional to 13,817.33, 19,067.92 and 8,152.14 is: 11,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.33 : 19,067.92 = 8,152.14 : x
  2. Step 2: Convert to fraction form
    13,817.33/19,067.92 = 8,152.14/x
  3. Step 3: Cross multiply
    13,817.33x = 19,067.92 × 8,152.14
  4. Step 4: Simplify right side
    13,817.33x = 155,444,404.47
  5. Step 5: Solve for x
    x = 155,444,404.47/13,817.33
  6. Step 6: Final answer
    x = 11,249.96

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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.