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Finding the Fourth Proportional to 13,893.68, 19,182.56 and 8,230.26

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Solution

The fourth proportional to 13,893.68, 19,182.56 and 8,230.26 is: 11,363.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.68 : 19,182.56 = 8,230.26 : x
  2. Step 2: Convert to fraction form
    13,893.68/19,182.56 = 8,230.26/x
  3. Step 3: Cross multiply
    13,893.68x = 19,182.56 × 8,230.26
  4. Step 4: Simplify right side
    13,893.68x = 157,877,456.27
  5. Step 5: Solve for x
    x = 157,877,456.27/13,893.68
  6. Step 6: Final answer
    x = 11,363.26

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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.