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Finding the Fourth Proportional to 20,072.25, 27,699.69 and 11,120.31

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Solution

The fourth proportional to 20,072.25, 27,699.69 and 11,120.31 is: 15,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072.25 : 27,699.69 = 11,120.31 : x
  2. Step 2: Convert to fraction form
    20,072.25/27,699.69 = 11,120.31/x
  3. Step 3: Cross multiply
    20,072.25x = 27,699.69 × 11,120.31
  4. Step 4: Simplify right side
    20,072.25x = 308,029,139.70
  5. Step 5: Solve for x
    x = 308,029,139.70/20,072.25
  6. Step 6: Final answer
    x = 15,346.02

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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.