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Finding the Fourth Proportional to 12,184.53, 18,284.08 and 11,193.09

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Solution

The fourth proportional to 12,184.53, 18,284.08 and 11,193.09 is: 16,796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.53 : 18,284.08 = 11,193.09 : x
  2. Step 2: Convert to fraction form
    12,184.53/18,284.08 = 11,193.09/x
  3. Step 3: Cross multiply
    12,184.53x = 18,284.08 × 11,193.09
  4. Step 4: Simplify right side
    12,184.53x = 204,655,277.45
  5. Step 5: Solve for x
    x = 204,655,277.45/12,184.53
  6. Step 6: Final answer
    x = 16,796.33

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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.