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Finding the Fourth Proportional to 16,183.72, 22,300.68 and 12,406.96

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Solution

The fourth proportional to 16,183.72, 22,300.68 and 12,406.96 is: 17,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.72 : 22,300.68 = 12,406.96 : x
  2. Step 2: Convert to fraction form
    16,183.72/22,300.68 = 12,406.96/x
  3. Step 3: Cross multiply
    16,183.72x = 22,300.68 × 12,406.96
  4. Step 4: Simplify right side
    16,183.72x = 276,683,644.73
  5. Step 5: Solve for x
    x = 276,683,644.73/16,183.72
  6. Step 6: Final answer
    x = 17,096.42

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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.