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Finding the Fourth Proportional to 27,471.65, 41,193.83 and 8,749.24

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Solution

The fourth proportional to 27,471.65, 41,193.83 and 8,749.24 is: 13,119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.65 : 41,193.83 = 8,749.24 : x
  2. Step 2: Convert to fraction form
    27,471.65/41,193.83 = 8,749.24/x
  3. Step 3: Cross multiply
    27,471.65x = 41,193.83 × 8,749.24
  4. Step 4: Simplify right side
    27,471.65x = 360,414,705.19
  5. Step 5: Solve for x
    x = 360,414,705.19/27,471.65
  6. Step 6: Final answer
    x = 13,119.52

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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.