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Finding the Fourth Proportional to 27,439.68, 41,107.68 and 13,546.56

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Solution

The fourth proportional to 27,439.68, 41,107.68 and 13,546.56 is: 20,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,439.68 : 41,107.68 = 13,546.56 : x
  2. Step 2: Convert to fraction form
    27,439.68/41,107.68 = 13,546.56/x
  3. Step 3: Cross multiply
    27,439.68x = 41,107.68 × 13,546.56
  4. Step 4: Simplify right side
    27,439.68x = 556,867,653.58
  5. Step 5: Solve for x
    x = 556,867,653.58/27,439.68
  6. Step 6: Final answer
    x = 20,294.25

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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.