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Finding the Fourth Proportional to 27,806.17, 41,709.26 and 7,029.67

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Solution

The fourth proportional to 27,806.17, 41,709.26 and 7,029.67 is: 10,544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.17 : 41,709.26 = 7,029.67 : x
  2. Step 2: Convert to fraction form
    27,806.17/41,709.26 = 7,029.67/x
  3. Step 3: Cross multiply
    27,806.17x = 41,709.26 × 7,029.67
  4. Step 4: Simplify right side
    27,806.17x = 293,202,333.74
  5. Step 5: Solve for x
    x = 293,202,333.74/27,806.17
  6. Step 6: Final answer
    x = 10,544.51

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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.