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Finding the Fourth Proportional to 27,325.44, 40,993.92 and 8,856

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Solution

The fourth proportional to 27,325.44, 40,993.92 and 8,856 is: 13,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,325.44 : 40,993.92 = 8,856 : x
  2. Step 2: Convert to fraction form
    27,325.44/40,993.92 = 8,856/x
  3. Step 3: Cross multiply
    27,325.44x = 40,993.92 × 8,856
  4. Step 4: Simplify right side
    27,325.44x = 363,042,155.52
  5. Step 5: Solve for x
    x = 363,042,155.52/27,325.44
  6. Step 6: Final answer
    x = 13,285.87

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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.