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Finding the Fourth Proportional to 20,181.84, 30,272.80 and 9,086.46

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Solution

The fourth proportional to 20,181.84, 30,272.80 and 9,086.46 is: 13,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181.84 : 30,272.80 = 9,086.46 : x
  2. Step 2: Convert to fraction form
    20,181.84/30,272.80 = 9,086.46/x
  3. Step 3: Cross multiply
    20,181.84x = 30,272.80 × 9,086.46
  4. Step 4: Simplify right side
    20,181.84x = 275,072,586.29
  5. Step 5: Solve for x
    x = 275,072,586.29/20,181.84
  6. Step 6: Final answer
    x = 13,629.71

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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.