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Finding the Fourth Proportional to 12,019.50, 18,029.25 and 3,811.50

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Solution

The fourth proportional to 12,019.50, 18,029.25 and 3,811.50 is: 5,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.50 : 18,029.25 = 3,811.50 : x
  2. Step 2: Convert to fraction form
    12,019.50/18,029.25 = 3,811.50/x
  3. Step 3: Cross multiply
    12,019.50x = 18,029.25 × 3,811.50
  4. Step 4: Simplify right side
    12,019.50x = 68,718,486.38
  5. Step 5: Solve for x
    x = 68,718,486.38/12,019.50
  6. Step 6: Final answer
    x = 5,717.25

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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.