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Finding the Fourth Proportional to 20,311.80, 30,464.55 and 7,161.09

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Solution

The fourth proportional to 20,311.80, 30,464.55 and 7,161.09 is: 10,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,311.80 : 30,464.55 = 7,161.09 : x
  2. Step 2: Convert to fraction form
    20,311.80/30,464.55 = 7,161.09/x
  3. Step 3: Cross multiply
    20,311.80x = 30,464.55 × 7,161.09
  4. Step 4: Simplify right side
    20,311.80x = 218,159,384.36
  5. Step 5: Solve for x
    x = 218,159,384.36/20,311.80
  6. Step 6: Final answer
    x = 10,740.52

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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.