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Finding the Fourth Proportional to 20,770.62, 31,168.41 and 7,442.58

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Solution

The fourth proportional to 20,770.62, 31,168.41 and 7,442.58 is: 11,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.62 : 31,168.41 = 7,442.58 : x
  2. Step 2: Convert to fraction form
    20,770.62/31,168.41 = 7,442.58/x
  3. Step 3: Cross multiply
    20,770.62x = 31,168.41 × 7,442.58
  4. Step 4: Simplify right side
    20,770.62x = 231,973,384.90
  5. Step 5: Solve for x
    x = 231,973,384.90/20,770.62
  6. Step 6: Final answer
    x = 11,168.34

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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.