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Finding the Fourth Proportional to 12,241.05, 16,892.47 and 6,863.46

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Solution

The fourth proportional to 12,241.05, 16,892.47 and 6,863.46 is: 9,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.05 : 16,892.47 = 6,863.46 : x
  2. Step 2: Convert to fraction form
    12,241.05/16,892.47 = 6,863.46/x
  3. Step 3: Cross multiply
    12,241.05x = 16,892.47 × 6,863.46
  4. Step 4: Simplify right side
    12,241.05x = 115,940,804.19
  5. Step 5: Solve for x
    x = 115,940,804.19/12,241.05
  6. Step 6: Final answer
    x = 9,471.48

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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.