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Finding the Fourth Proportional to 27,757.95, 38,302.54 and 17,682.26

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Solution

The fourth proportional to 27,757.95, 38,302.54 and 17,682.26 is: 24,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,757.95 : 38,302.54 = 17,682.26 : x
  2. Step 2: Convert to fraction form
    27,757.95/38,302.54 = 17,682.26/x
  3. Step 3: Cross multiply
    27,757.95x = 38,302.54 × 17,682.26
  4. Step 4: Simplify right side
    27,757.95x = 677,275,470.94
  5. Step 5: Solve for x
    x = 677,275,470.94/27,757.95
  6. Step 6: Final answer
    x = 24,399.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.