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Finding the Fourth Proportional to 20,770.98, 31,155.44 and 7,622.32

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Solution

The fourth proportional to 20,770.98, 31,155.44 and 7,622.32 is: 11,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.98 : 31,155.44 = 7,622.32 : x
  2. Step 2: Convert to fraction form
    20,770.98/31,155.44 = 7,622.32/x
  3. Step 3: Cross multiply
    20,770.98x = 31,155.44 × 7,622.32
  4. Step 4: Simplify right side
    20,770.98x = 237,476,733.42
  5. Step 5: Solve for x
    x = 237,476,733.42/20,770.98
  6. Step 6: Final answer
    x = 11,433.10

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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.