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Finding the Fourth Proportional to 20,709.82, 28,578.63 and 11,757.16

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Solution

The fourth proportional to 20,709.82, 28,578.63 and 11,757.16 is: 16,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709.82 : 28,578.63 = 11,757.16 : x
  2. Step 2: Convert to fraction form
    20,709.82/28,578.63 = 11,757.16/x
  3. Step 3: Cross multiply
    20,709.82x = 28,578.63 × 11,757.16
  4. Step 4: Simplify right side
    20,709.82x = 336,003,525.49
  5. Step 5: Solve for x
    x = 336,003,525.49/20,709.82
  6. Step 6: Final answer
    x = 16,224.36

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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.