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Finding the Fourth Proportional to 14,181.81, 21,243.51 and 8,324.25

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Solution

The fourth proportional to 14,181.81, 21,243.51 and 8,324.25 is: 12,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.81 : 21,243.51 = 8,324.25 : x
  2. Step 2: Convert to fraction form
    14,181.81/21,243.51 = 8,324.25/x
  3. Step 3: Cross multiply
    14,181.81x = 21,243.51 × 8,324.25
  4. Step 4: Simplify right side
    14,181.81x = 176,836,288.12
  5. Step 5: Solve for x
    x = 176,836,288.12/14,181.81
  6. Step 6: Final answer
    x = 12,469.23

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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.