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Finding the Fourth Proportional to 27,940.66, 41,916.86 and 8,217.57

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Solution

The fourth proportional to 27,940.66, 41,916.86 and 8,217.57 is: 12,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,940.66 : 41,916.86 = 8,217.57 : x
  2. Step 2: Convert to fraction form
    27,940.66/41,916.86 = 8,217.57/x
  3. Step 3: Cross multiply
    27,940.66x = 41,916.86 × 8,217.57
  4. Step 4: Simplify right side
    27,940.66x = 344,454,731.23
  5. Step 5: Solve for x
    x = 344,454,731.23/27,940.66
  6. Step 6: Final answer
    x = 12,328.08

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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.