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Finding the Fourth Proportional to 27,500.68, 41,245.75 and 7,774.48

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Solution

The fourth proportional to 27,500.68, 41,245.75 and 7,774.48 is: 11,660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,500.68 : 41,245.75 = 7,774.48 : x
  2. Step 2: Convert to fraction form
    27,500.68/41,245.75 = 7,774.48/x
  3. Step 3: Cross multiply
    27,500.68x = 41,245.75 × 7,774.48
  4. Step 4: Simplify right side
    27,500.68x = 320,664,258.46
  5. Step 5: Solve for x
    x = 320,664,258.46/27,500.68
  6. Step 6: Final answer
    x = 11,660.23

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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.