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Finding the Fourth Proportional to 16,082.74, 22,183.10 and 11,312.80

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Solution

The fourth proportional to 16,082.74, 22,183.10 and 11,312.80 is: 15,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.74 : 22,183.10 = 11,312.80 : x
  2. Step 2: Convert to fraction form
    16,082.74/22,183.10 = 11,312.80/x
  3. Step 3: Cross multiply
    16,082.74x = 22,183.10 × 11,312.80
  4. Step 4: Simplify right side
    16,082.74x = 250,952,973.68
  5. Step 5: Solve for x
    x = 250,952,973.68/16,082.74
  6. Step 6: Final answer
    x = 15,603.87

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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.