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Finding the Fourth Proportional to 12,771.65, 19,166.21 and 4,451.67

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Solution

The fourth proportional to 12,771.65, 19,166.21 and 4,451.67 is: 6,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.65 : 19,166.21 = 4,451.67 : x
  2. Step 2: Convert to fraction form
    12,771.65/19,166.21 = 4,451.67/x
  3. Step 3: Cross multiply
    12,771.65x = 19,166.21 × 4,451.67
  4. Step 4: Simplify right side
    12,771.65x = 85,321,653.20
  5. Step 5: Solve for x
    x = 85,321,653.20/12,771.65
  6. Step 6: Final answer
    x = 6,680.55

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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.