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Finding the Fourth Proportional to 27,195.50, 40,793.24 and 8,477.04

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Solution

The fourth proportional to 27,195.50, 40,793.24 and 8,477.04 is: 12,715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,195.50 : 40,793.24 = 8,477.04 : x
  2. Step 2: Convert to fraction form
    27,195.50/40,793.24 = 8,477.04/x
  3. Step 3: Cross multiply
    27,195.50x = 40,793.24 × 8,477.04
  4. Step 4: Simplify right side
    27,195.50x = 345,805,927.21
  5. Step 5: Solve for x
    x = 345,805,927.21/27,195.50
  6. Step 6: Final answer
    x = 12,715.56

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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.