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Finding the Fourth Proportional to 20,774.74, 31,161.06 and 7,626.08

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Solution

The fourth proportional to 20,774.74, 31,161.06 and 7,626.08 is: 11,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774.74 : 31,161.06 = 7,626.08 : x
  2. Step 2: Convert to fraction form
    20,774.74/31,161.06 = 7,626.08/x
  3. Step 3: Cross multiply
    20,774.74x = 31,161.06 × 7,626.08
  4. Step 4: Simplify right side
    20,774.74x = 237,636,736.44
  5. Step 5: Solve for x
    x = 237,636,736.44/20,774.74
  6. Step 6: Final answer
    x = 11,438.73

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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.