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Finding the Fourth Proportional to 12,394.68, 18,586.26 and 7,202.04

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Solution

The fourth proportional to 12,394.68, 18,586.26 and 7,202.04 is: 10,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.68 : 18,586.26 = 7,202.04 : x
  2. Step 2: Convert to fraction form
    12,394.68/18,586.26 = 7,202.04/x
  3. Step 3: Cross multiply
    12,394.68x = 18,586.26 × 7,202.04
  4. Step 4: Simplify right side
    12,394.68x = 133,858,987.97
  5. Step 5: Solve for x
    x = 133,858,987.97/12,394.68
  6. Step 6: Final answer
    x = 10,799.71

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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.