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Finding the Fourth Proportional to 20,757.82, 28,645.75 and 11,682.45

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Solution

The fourth proportional to 20,757.82, 28,645.75 and 11,682.45 is: 16,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,757.82 : 28,645.75 = 11,682.45 : x
  2. Step 2: Convert to fraction form
    20,757.82/28,645.75 = 11,682.45/x
  3. Step 3: Cross multiply
    20,757.82x = 28,645.75 × 11,682.45
  4. Step 4: Simplify right side
    20,757.82x = 334,652,637.26
  5. Step 5: Solve for x
    x = 334,652,637.26/20,757.82
  6. Step 6: Final answer
    x = 16,121.76

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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.