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Finding the Fourth Proportional to 13,892.04, 19,163.84 and 9,414.26

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Solution

The fourth proportional to 13,892.04, 19,163.84 and 9,414.26 is: 12,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.04 : 19,163.84 = 9,414.26 : x
  2. Step 2: Convert to fraction form
    13,892.04/19,163.84 = 9,414.26/x
  3. Step 3: Cross multiply
    13,892.04x = 19,163.84 × 9,414.26
  4. Step 4: Simplify right side
    13,892.04x = 180,413,372.36
  5. Step 5: Solve for x
    x = 180,413,372.36/13,892.04
  6. Step 6: Final answer
    x = 12,986.82

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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.