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Finding the Fourth Proportional to 12,586.36, 18,879.38 and 3,820.94

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Solution

The fourth proportional to 12,586.36, 18,879.38 and 3,820.94 is: 5,731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.36 : 18,879.38 = 3,820.94 : x
  2. Step 2: Convert to fraction form
    12,586.36/18,879.38 = 3,820.94/x
  3. Step 3: Cross multiply
    12,586.36x = 18,879.38 × 3,820.94
  4. Step 4: Simplify right side
    12,586.36x = 72,136,978.22
  5. Step 5: Solve for x
    x = 72,136,978.22/12,586.36
  6. Step 6: Final answer
    x = 5,731.36

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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.