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Finding the Fourth Proportional to 13,827.16, 19,082.84 and 8,163.78

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Solution

The fourth proportional to 13,827.16, 19,082.84 and 8,163.78 is: 11,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.16 : 19,082.84 = 8,163.78 : x
  2. Step 2: Convert to fraction form
    13,827.16/19,082.84 = 8,163.78/x
  3. Step 3: Cross multiply
    13,827.16x = 19,082.84 × 8,163.78
  4. Step 4: Simplify right side
    13,827.16x = 155,788,107.54
  5. Step 5: Solve for x
    x = 155,788,107.54/13,827.16
  6. Step 6: Final answer
    x = 11,266.82

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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.