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Finding the Fourth Proportional to 27,453.54, 41,180.99 and 7,731.96

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Solution

The fourth proportional to 27,453.54, 41,180.99 and 7,731.96 is: 11,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,453.54 : 41,180.99 = 7,731.96 : x
  2. Step 2: Convert to fraction form
    27,453.54/41,180.99 = 7,731.96/x
  3. Step 3: Cross multiply
    27,453.54x = 41,180.99 × 7,731.96
  4. Step 4: Simplify right side
    27,453.54x = 318,409,883.21
  5. Step 5: Solve for x
    x = 318,409,883.21/27,453.54
  6. Step 6: Final answer
    x = 11,598.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.