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Finding the Fourth Proportional to 16,082.15, 22,193.36 and 9,794.53

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Solution

The fourth proportional to 16,082.15, 22,193.36 and 9,794.53 is: 13,516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.15 : 22,193.36 = 9,794.53 : x
  2. Step 2: Convert to fraction form
    16,082.15/22,193.36 = 9,794.53/x
  3. Step 3: Cross multiply
    16,082.15x = 22,193.36 × 9,794.53
  4. Step 4: Simplify right side
    16,082.15x = 217,373,419.35
  5. Step 5: Solve for x
    x = 217,373,419.35/16,082.15
  6. Step 6: Final answer
    x = 13,516.44

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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.