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Finding the Fourth Proportional to 16,231.68, 22,414.88 and 11,945.16

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Solution

The fourth proportional to 16,231.68, 22,414.88 and 11,945.16 is: 16,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.68 : 22,414.88 = 11,945.16 : x
  2. Step 2: Convert to fraction form
    16,231.68/22,414.88 = 11,945.16/x
  3. Step 3: Cross multiply
    16,231.68x = 22,414.88 × 11,945.16
  4. Step 4: Simplify right side
    16,231.68x = 267,749,268.26
  5. Step 5: Solve for x
    x = 267,749,268.26/16,231.68
  6. Step 6: Final answer
    x = 16,495.47

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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.