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Finding the Fourth Proportional to 27,700.60, 41,538.59 and 7,974.54

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Solution

The fourth proportional to 27,700.60, 41,538.59 and 7,974.54 is: 11,958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,700.60 : 41,538.59 = 7,974.54 : x
  2. Step 2: Convert to fraction form
    27,700.60/41,538.59 = 7,974.54/x
  3. Step 3: Cross multiply
    27,700.60x = 41,538.59 × 7,974.54
  4. Step 4: Simplify right side
    27,700.60x = 331,251,147.50
  5. Step 5: Solve for x
    x = 331,251,147.50/27,700.60
  6. Step 6: Final answer
    x = 11,958.27

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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.