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Finding the Fourth Proportional to 20,069.82, 27,696.96 and 11,118.16

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Solution

The fourth proportional to 20,069.82, 27,696.96 and 11,118.16 is: 15,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,069.82 : 27,696.96 = 11,118.16 : x
  2. Step 2: Convert to fraction form
    20,069.82/27,696.96 = 11,118.16/x
  3. Step 3: Cross multiply
    20,069.82x = 27,696.96 × 11,118.16
  4. Step 4: Simplify right side
    20,069.82x = 307,939,163.55
  5. Step 5: Solve for x
    x = 307,939,163.55/20,069.82
  6. Step 6: Final answer
    x = 15,343.39

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Why These Related Problems?

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