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Finding the Fourth Proportional to 20,586.06, 30,879.02 and 7,438.42

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Solution

The fourth proportional to 20,586.06, 30,879.02 and 7,438.42 is: 11,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,586.06 : 30,879.02 = 7,438.42 : x
  2. Step 2: Convert to fraction form
    20,586.06/30,879.02 = 7,438.42/x
  3. Step 3: Cross multiply
    20,586.06x = 30,879.02 × 7,438.42
  4. Step 4: Simplify right side
    20,586.06x = 229,691,119.95
  5. Step 5: Solve for x
    x = 229,691,119.95/20,586.06
  6. Step 6: Final answer
    x = 11,157.60

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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.