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Finding the Fourth Proportional to 27,635.89, 41,453.66 and 7,914.48

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Solution

The fourth proportional to 27,635.89, 41,453.66 and 7,914.48 is: 11,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,635.89 : 41,453.66 = 7,914.48 : x
  2. Step 2: Convert to fraction form
    27,635.89/41,453.66 = 7,914.48/x
  3. Step 3: Cross multiply
    27,635.89x = 41,453.66 × 7,914.48
  4. Step 4: Simplify right side
    27,635.89x = 328,084,182.78
  5. Step 5: Solve for x
    x = 328,084,182.78/27,635.89
  6. Step 6: Final answer
    x = 11,871.67

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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.