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Finding the Fourth Proportional to 20,449.58, 30,674.33 and 5,658.46

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Solution

The fourth proportional to 20,449.58, 30,674.33 and 5,658.46 is: 8,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,449.58 : 30,674.33 = 5,658.46 : x
  2. Step 2: Convert to fraction form
    20,449.58/30,674.33 = 5,658.46/x
  3. Step 3: Cross multiply
    20,449.58x = 30,674.33 × 5,658.46
  4. Step 4: Simplify right side
    20,449.58x = 173,569,315.96
  5. Step 5: Solve for x
    x = 173,569,315.96/20,449.58
  6. Step 6: Final answer
    x = 8,487.67

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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.