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Finding the Fourth Proportional to 27,199.80, 37,540.46 and 15,876

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Solution

The fourth proportional to 27,199.80, 37,540.46 and 15,876 is: 21,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,199.80 : 37,540.46 = 15,876 : x
  2. Step 2: Convert to fraction form
    27,199.80/37,540.46 = 15,876/x
  3. Step 3: Cross multiply
    27,199.80x = 37,540.46 × 15,876
  4. Step 4: Simplify right side
    27,199.80x = 595,992,382.65
  5. Step 5: Solve for x
    x = 595,992,382.65/27,199.80
  6. Step 6: Final answer
    x = 21,911.65

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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.