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Finding the Fourth Proportional to 12,986.26, 19,474.98 and 4,219

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Solution

The fourth proportional to 12,986.26, 19,474.98 and 4,219 is: 6,327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.26 : 19,474.98 = 4,219 : x
  2. Step 2: Convert to fraction form
    12,986.26/19,474.98 = 4,219/x
  3. Step 3: Cross multiply
    12,986.26x = 19,474.98 × 4,219
  4. Step 4: Simplify right side
    12,986.26x = 82,164,940.62
  5. Step 5: Solve for x
    x = 82,164,940.62/12,986.26
  6. Step 6: Final answer
    x = 6,327.07

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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.