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Finding the Fourth Proportional to 12,685.74, 19,028.16 and 3,920.67

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Solution

The fourth proportional to 12,685.74, 19,028.16 and 3,920.67 is: 5,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.74 : 19,028.16 = 3,920.67 : x
  2. Step 2: Convert to fraction form
    12,685.74/19,028.16 = 3,920.67/x
  3. Step 3: Cross multiply
    12,685.74x = 19,028.16 × 3,920.67
  4. Step 4: Simplify right side
    12,685.74x = 74,603,136.07
  5. Step 5: Solve for x
    x = 74,603,136.07/12,685.74
  6. Step 6: Final answer
    x = 5,880.87

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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.