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Finding the Fourth Proportional to 12,706.11, 19,061.69 and 3,940.70

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Solution

The fourth proportional to 12,706.11, 19,061.69 and 3,940.70 is: 5,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.11 : 19,061.69 = 3,940.70 : x
  2. Step 2: Convert to fraction form
    12,706.11/19,061.69 = 3,940.70/x
  3. Step 3: Cross multiply
    12,706.11x = 19,061.69 × 3,940.70
  4. Step 4: Simplify right side
    12,706.11x = 75,116,286.77
  5. Step 5: Solve for x
    x = 75,116,286.77/12,706.11
  6. Step 6: Final answer
    x = 5,911.82

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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.