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Finding the Fourth Proportional to 16,082.78, 22,194.23 and 9,795.15

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Solution

The fourth proportional to 16,082.78, 22,194.23 and 9,795.15 is: 13,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.78 : 22,194.23 = 9,795.15 : x
  2. Step 2: Convert to fraction form
    16,082.78/22,194.23 = 9,795.15/x
  3. Step 3: Cross multiply
    16,082.78x = 22,194.23 × 9,795.15
  4. Step 4: Simplify right side
    16,082.78x = 217,395,811.98
  5. Step 5: Solve for x
    x = 217,395,811.98/16,082.78
  6. Step 6: Final answer
    x = 13,517.31

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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.