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Finding the Fourth Proportional to 12,766.17, 19,162.22 and 8,074.65

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Solution

The fourth proportional to 12,766.17, 19,162.22 and 8,074.65 is: 12,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.17 : 19,162.22 = 8,074.65 : x
  2. Step 2: Convert to fraction form
    12,766.17/19,162.22 = 8,074.65/x
  3. Step 3: Cross multiply
    12,766.17x = 19,162.22 × 8,074.65
  4. Step 4: Simplify right side
    12,766.17x = 154,728,179.35
  5. Step 5: Solve for x
    x = 154,728,179.35/12,766.17
  6. Step 6: Final answer
    x = 12,120.17

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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.