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Finding the Fourth Proportional to 13,381.96, 18,488.10 and 9,212.44

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Solution

The fourth proportional to 13,381.96, 18,488.10 and 9,212.44 is: 12,727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.96 : 18,488.10 = 9,212.44 : x
  2. Step 2: Convert to fraction form
    13,381.96/18,488.10 = 9,212.44/x
  3. Step 3: Cross multiply
    13,381.96x = 18,488.10 × 9,212.44
  4. Step 4: Simplify right side
    13,381.96x = 170,320,511.96
  5. Step 5: Solve for x
    x = 170,320,511.96/13,381.96
  6. Step 6: Final answer
    x = 12,727.62

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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.