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Finding the Fourth Proportional to 12,205.35, 18,257.90 and 9,744.98

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Solution

The fourth proportional to 12,205.35, 18,257.90 and 9,744.98 is: 14,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.35 : 18,257.90 = 9,744.98 : x
  2. Step 2: Convert to fraction form
    12,205.35/18,257.90 = 9,744.98/x
  3. Step 3: Cross multiply
    12,205.35x = 18,257.90 × 9,744.98
  4. Step 4: Simplify right side
    12,205.35x = 177,922,730.33
  5. Step 5: Solve for x
    x = 177,922,730.33/12,205.35
  6. Step 6: Final answer
    x = 14,577.44

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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.