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Finding the Fourth Proportional to 27,726.46, 41,577.34 and 8,000.33

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Solution

The fourth proportional to 27,726.46, 41,577.34 and 8,000.33 is: 11,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,726.46 : 41,577.34 = 8,000.33 : x
  2. Step 2: Convert to fraction form
    27,726.46/41,577.34 = 8,000.33/x
  3. Step 3: Cross multiply
    27,726.46x = 41,577.34 × 8,000.33
  4. Step 4: Simplify right side
    27,726.46x = 332,632,440.52
  5. Step 5: Solve for x
    x = 332,632,440.52/27,726.46
  6. Step 6: Final answer
    x = 11,996.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.