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Finding the Fourth Proportional to 20,482.19, 30,722.94 and 9,231.27

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Solution

The fourth proportional to 20,482.19, 30,722.94 and 9,231.27 is: 13,846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,482.19 : 30,722.94 = 9,231.27 : x
  2. Step 2: Convert to fraction form
    20,482.19/30,722.94 = 9,231.27/x
  3. Step 3: Cross multiply
    20,482.19x = 30,722.94 × 9,231.27
  4. Step 4: Simplify right side
    20,482.19x = 283,611,754.33
  5. Step 5: Solve for x
    x = 283,611,754.33/20,482.19
  6. Step 6: Final answer
    x = 13,846.75

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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.