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Finding the Fourth Proportional to 16,096.36, 22,218.44 and 10,138

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Solution

The fourth proportional to 16,096.36, 22,218.44 and 10,138 is: 13,993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.36 : 22,218.44 = 10,138 : x
  2. Step 2: Convert to fraction form
    16,096.36/22,218.44 = 10,138/x
  3. Step 3: Cross multiply
    16,096.36x = 22,218.44 × 10,138
  4. Step 4: Simplify right side
    16,096.36x = 225,250,544.72
  5. Step 5: Solve for x
    x = 225,250,544.72/16,096.36
  6. Step 6: Final answer
    x = 13,993.88

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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.