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Finding the Fourth Proportional to 27,898.25, 41,852.63 and 9,183.67

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Solution

The fourth proportional to 27,898.25, 41,852.63 and 9,183.67 is: 13,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,898.25 : 41,852.63 = 9,183.67 : x
  2. Step 2: Convert to fraction form
    27,898.25/41,852.63 = 9,183.67/x
  3. Step 3: Cross multiply
    27,898.25x = 41,852.63 × 9,183.67
  4. Step 4: Simplify right side
    27,898.25x = 384,360,660.88
  5. Step 5: Solve for x
    x = 384,360,660.88/27,898.25
  6. Step 6: Final answer
    x = 13,777.23

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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.