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Finding the Fourth Proportional to 14,371.43, 19,832.36 and 8,083.80

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Solution

The fourth proportional to 14,371.43, 19,832.36 and 8,083.80 is: 11,155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,371.43 : 19,832.36 = 8,083.80 : x
  2. Step 2: Convert to fraction form
    14,371.43/19,832.36 = 8,083.80/x
  3. Step 3: Cross multiply
    14,371.43x = 19,832.36 × 8,083.80
  4. Step 4: Simplify right side
    14,371.43x = 160,320,791.35
  5. Step 5: Solve for x
    x = 160,320,791.35/14,371.43
  6. Step 6: Final answer
    x = 11,155.53

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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.