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Finding the Fourth Proportional to 27,953.68, 41,916.04 and 8,229.64

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Solution

The fourth proportional to 27,953.68, 41,916.04 and 8,229.64 is: 12,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,953.68 : 41,916.04 = 8,229.64 : x
  2. Step 2: Convert to fraction form
    27,953.68/41,916.04 = 8,229.64/x
  3. Step 3: Cross multiply
    27,953.68x = 41,916.04 × 8,229.64
  4. Step 4: Simplify right side
    27,953.68x = 344,953,794.06
  5. Step 5: Solve for x
    x = 344,953,794.06/27,953.68
  6. Step 6: Final answer
    x = 12,340.19

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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.