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Finding the Fourth Proportional to 12,083.72, 18,119.43 and 4,185.41

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Solution

The fourth proportional to 12,083.72, 18,119.43 and 4,185.41 is: 6,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.72 : 18,119.43 = 4,185.41 : x
  2. Step 2: Convert to fraction form
    12,083.72/18,119.43 = 4,185.41/x
  3. Step 3: Cross multiply
    12,083.72x = 18,119.43 × 4,185.41
  4. Step 4: Simplify right side
    12,083.72x = 75,837,152.92
  5. Step 5: Solve for x
    x = 75,837,152.92/12,083.72
  6. Step 6: Final answer
    x = 6,275.98

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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.