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Finding the Fourth Proportional to 20,586.56, 30,879.78 and 7,438.92

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Solution

The fourth proportional to 20,586.56, 30,879.78 and 7,438.92 is: 11,158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,586.56 : 30,879.78 = 7,438.92 : x
  2. Step 2: Convert to fraction form
    20,586.56/30,879.78 = 7,438.92/x
  3. Step 3: Cross multiply
    20,586.56x = 30,879.78 × 7,438.92
  4. Step 4: Simplify right side
    20,586.56x = 229,712,213.04
  5. Step 5: Solve for x
    x = 229,712,213.04/20,586.56
  6. Step 6: Final answer
    x = 11,158.36

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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.