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Finding the Fourth Proportional to 14,489.36, 19,993.97 and 8,201.74

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Solution

The fourth proportional to 14,489.36, 19,993.97 and 8,201.74 is: 11,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.36 : 19,993.97 = 8,201.74 : x
  2. Step 2: Convert to fraction form
    14,489.36/19,993.97 = 8,201.74/x
  3. Step 3: Cross multiply
    14,489.36x = 19,993.97 × 8,201.74
  4. Step 4: Simplify right side
    14,489.36x = 163,985,243.54
  5. Step 5: Solve for x
    x = 163,985,243.54/14,489.36
  6. Step 6: Final answer
    x = 11,317.63

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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.