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Finding the Fourth Proportional to 12,181.80, 18,284.16 and 11,515.98

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Solution

The fourth proportional to 12,181.80, 18,284.16 and 11,515.98 is: 17,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.80 : 18,284.16 = 11,515.98 : x
  2. Step 2: Convert to fraction form
    12,181.80/18,284.16 = 11,515.98/x
  3. Step 3: Cross multiply
    12,181.80x = 18,284.16 × 11,515.98
  4. Step 4: Simplify right side
    12,181.80x = 210,560,020.88
  5. Step 5: Solve for x
    x = 210,560,020.88/12,181.80
  6. Step 6: Final answer
    x = 17,284.80

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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.