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Finding the Fourth Proportional to 14,912.96, 20,580.08 and 8,199.24

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Solution

The fourth proportional to 14,912.96, 20,580.08 and 8,199.24 is: 11,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.96 : 20,580.08 = 8,199.24 : x
  2. Step 2: Convert to fraction form
    14,912.96/20,580.08 = 8,199.24/x
  3. Step 3: Cross multiply
    14,912.96x = 20,580.08 × 8,199.24
  4. Step 4: Simplify right side
    14,912.96x = 168,741,015.14
  5. Step 5: Solve for x
    x = 168,741,015.14/14,912.96
  6. Step 6: Final answer
    x = 11,315.06

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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.