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Finding the Fourth Proportional to 20,586.83, 30,861.77 and 7,436.12

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Solution

The fourth proportional to 20,586.83, 30,861.77 and 7,436.12 is: 11,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,586.83 : 30,861.77 = 7,436.12 : x
  2. Step 2: Convert to fraction form
    20,586.83/30,861.77 = 7,436.12/x
  3. Step 3: Cross multiply
    20,586.83x = 30,861.77 × 7,436.12
  4. Step 4: Simplify right side
    20,586.83x = 229,491,825.13
  5. Step 5: Solve for x
    x = 229,491,825.13/20,586.83
  6. Step 6: Final answer
    x = 11,147.51

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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.