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Finding the Fourth Proportional to 12,083.91, 18,131.23 and 4,688.94

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Solution

The fourth proportional to 12,083.91, 18,131.23 and 4,688.94 is: 7,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.91 : 18,131.23 = 4,688.94 : x
  2. Step 2: Convert to fraction form
    12,083.91/18,131.23 = 4,688.94/x
  3. Step 3: Cross multiply
    12,083.91x = 18,131.23 × 4,688.94
  4. Step 4: Simplify right side
    12,083.91x = 85,016,234.65
  5. Step 5: Solve for x
    x = 85,016,234.65/12,083.91
  6. Step 6: Final answer
    x = 7,035.49

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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.