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Finding the Fourth Proportional to 14,067.36, 19,416.18 and 8,102.46

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Solution

The fourth proportional to 14,067.36, 19,416.18 and 8,102.46 is: 11,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067.36 : 19,416.18 = 8,102.46 : x
  2. Step 2: Convert to fraction form
    14,067.36/19,416.18 = 8,102.46/x
  3. Step 3: Cross multiply
    14,067.36x = 19,416.18 × 8,102.46
  4. Step 4: Simplify right side
    14,067.36x = 157,318,821.80
  5. Step 5: Solve for x
    x = 157,318,821.80/14,067.36
  6. Step 6: Final answer
    x = 11,183.25

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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.