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Finding the Fourth Proportional to 14,371.26, 19,832.22 and 8,083.50

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Solution

The fourth proportional to 14,371.26, 19,832.22 and 8,083.50 is: 11,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,371.26 : 19,832.22 = 8,083.50 : x
  2. Step 2: Convert to fraction form
    14,371.26/19,832.22 = 8,083.50/x
  3. Step 3: Cross multiply
    14,371.26x = 19,832.22 × 8,083.50
  4. Step 4: Simplify right side
    14,371.26x = 160,313,750.37
  5. Step 5: Solve for x
    x = 160,313,750.37/14,371.26
  6. Step 6: Final answer
    x = 11,155.16

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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.