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Finding the Fourth Proportional to 27,982.67, 38,611.49 and 17,386.65

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Solution

The fourth proportional to 27,982.67, 38,611.49 and 17,386.65 is: 23,990.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982.67 : 38,611.49 = 17,386.65 : x
  2. Step 2: Convert to fraction form
    27,982.67/38,611.49 = 17,386.65/x
  3. Step 3: Cross multiply
    27,982.67x = 38,611.49 × 17,386.65
  4. Step 4: Simplify right side
    27,982.67x = 671,324,375.68
  5. Step 5: Solve for x
    x = 671,324,375.68/27,982.67
  6. Step 6: Final answer
    x = 23,990.72

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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.