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Finding the Fourth Proportional to 14,489.12, 19,993.92 and 8,201.36

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Solution

The fourth proportional to 14,489.12, 19,993.92 and 8,201.36 is: 11,317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.12 : 19,993.92 = 8,201.36 : x
  2. Step 2: Convert to fraction form
    14,489.12/19,993.92 = 8,201.36/x
  3. Step 3: Cross multiply
    14,489.12x = 19,993.92 × 8,201.36
  4. Step 4: Simplify right side
    14,489.12x = 163,977,335.73
  5. Step 5: Solve for x
    x = 163,977,335.73/14,489.12
  6. Step 6: Final answer
    x = 11,317.27

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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.