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Finding the Fourth Proportional to 19,830.96, 27,363.82 and 11,871.52

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Solution

The fourth proportional to 19,830.96, 27,363.82 and 11,871.52 is: 16,380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.96 : 27,363.82 = 11,871.52 : x
  2. Step 2: Convert to fraction form
    19,830.96/27,363.82 = 11,871.52/x
  3. Step 3: Cross multiply
    19,830.96x = 27,363.82 × 11,871.52
  4. Step 4: Simplify right side
    19,830.96x = 324,850,136.41
  5. Step 5: Solve for x
    x = 324,850,136.41/19,830.96
  6. Step 6: Final answer
    x = 16,380.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.