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Finding the Fourth Proportional to 12,820.26, 19,230.38 and 3,586.26

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Solution

The fourth proportional to 12,820.26, 19,230.38 and 3,586.26 is: 5,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.26 : 19,230.38 = 3,586.26 : x
  2. Step 2: Convert to fraction form
    12,820.26/19,230.38 = 3,586.26/x
  3. Step 3: Cross multiply
    12,820.26x = 19,230.38 × 3,586.26
  4. Step 4: Simplify right side
    12,820.26x = 68,965,142.58
  5. Step 5: Solve for x
    x = 68,965,142.58/12,820.26
  6. Step 6: Final answer
    x = 5,379.39

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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.