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Finding the Fourth Proportional to 16,541.96, 24,812.94 and 8,232.38

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Solution

The fourth proportional to 16,541.96, 24,812.94 and 8,232.38 is: 12,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,541.96 : 24,812.94 = 8,232.38 : x
  2. Step 2: Convert to fraction form
    16,541.96/24,812.94 = 8,232.38/x
  3. Step 3: Cross multiply
    16,541.96x = 24,812.94 × 8,232.38
  4. Step 4: Simplify right side
    16,541.96x = 204,269,551.00
  5. Step 5: Solve for x
    x = 204,269,551.00/16,541.96
  6. Step 6: Final answer
    x = 12,348.57

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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.