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Finding the Fourth Proportional to 20,608.12, 30,914.66 and 7,278.38

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Solution

The fourth proportional to 20,608.12, 30,914.66 and 7,278.38 is: 10,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,608.12 : 30,914.66 = 7,278.38 : x
  2. Step 2: Convert to fraction form
    20,608.12/30,914.66 = 7,278.38/x
  3. Step 3: Cross multiply
    20,608.12x = 30,914.66 × 7,278.38
  4. Step 4: Simplify right side
    20,608.12x = 225,008,643.05
  5. Step 5: Solve for x
    x = 225,008,643.05/20,608.12
  6. Step 6: Final answer
    x = 10,918.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.