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Finding the Fourth Proportional to 27,783.26, 41,679.22 and 9,058.94

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Solution

The fourth proportional to 27,783.26, 41,679.22 and 9,058.94 is: 13,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.26 : 41,679.22 = 9,058.94 : x
  2. Step 2: Convert to fraction form
    27,783.26/41,679.22 = 9,058.94/x
  3. Step 3: Cross multiply
    27,783.26x = 41,679.22 × 9,058.94
  4. Step 4: Simplify right side
    27,783.26x = 377,569,553.23
  5. Step 5: Solve for x
    x = 377,569,553.23/27,783.26
  6. Step 6: Final answer
    x = 13,589.82

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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.