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Finding the Fourth Proportional to 27,418.10, 41,126.99 and 7,696.67

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Solution

The fourth proportional to 27,418.10, 41,126.99 and 7,696.67 is: 11,544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,418.10 : 41,126.99 = 7,696.67 : x
  2. Step 2: Convert to fraction form
    27,418.10/41,126.99 = 7,696.67/x
  3. Step 3: Cross multiply
    27,418.10x = 41,126.99 × 7,696.67
  4. Step 4: Simplify right side
    27,418.10x = 316,540,934.46
  5. Step 5: Solve for x
    x = 316,540,934.46/27,418.10
  6. Step 6: Final answer
    x = 11,544.96

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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.