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Finding the Fourth Proportional to 14,912.64, 20,579.28 and 8,198.70

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Solution

The fourth proportional to 14,912.64, 20,579.28 and 8,198.70 is: 11,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.64 : 20,579.28 = 8,198.70 : x
  2. Step 2: Convert to fraction form
    14,912.64/20,579.28 = 8,198.70/x
  3. Step 3: Cross multiply
    14,912.64x = 20,579.28 × 8,198.70
  4. Step 4: Simplify right side
    14,912.64x = 168,723,342.94
  5. Step 5: Solve for x
    x = 168,723,342.94/14,912.64
  6. Step 6: Final answer
    x = 11,314.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.