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Finding the Fourth Proportional to 12,241.28, 18,362.28 and 8,107.76

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Solution

The fourth proportional to 12,241.28, 18,362.28 and 8,107.76 is: 12,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.28 : 18,362.28 = 8,107.76 : x
  2. Step 2: Convert to fraction form
    12,241.28/18,362.28 = 8,107.76/x
  3. Step 3: Cross multiply
    12,241.28x = 18,362.28 × 8,107.76
  4. Step 4: Simplify right side
    12,241.28x = 148,876,959.29
  5. Step 5: Solve for x
    x = 148,876,959.29/12,241.28
  6. Step 6: Final answer
    x = 12,161.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.