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Finding the Fourth Proportional to 14,371.27, 19,832.14 and 8,083.63

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Solution

The fourth proportional to 14,371.27, 19,832.14 and 8,083.63 is: 11,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,371.27 : 19,832.14 = 8,083.63 : x
  2. Step 2: Convert to fraction form
    14,371.27/19,832.14 = 8,083.63/x
  3. Step 3: Cross multiply
    14,371.27x = 19,832.14 × 8,083.63
  4. Step 4: Simplify right side
    14,371.27x = 160,315,602.92
  5. Step 5: Solve for x
    x = 160,315,602.92/14,371.27
  6. Step 6: Final answer
    x = 11,155.29

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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.