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Finding the Fourth Proportional to 14,912.56, 20,579.40 and 8,198.78

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Solution

The fourth proportional to 14,912.56, 20,579.40 and 8,198.78 is: 11,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.56 : 20,579.40 = 8,198.78 : x
  2. Step 2: Convert to fraction form
    14,912.56/20,579.40 = 8,198.78/x
  3. Step 3: Cross multiply
    14,912.56x = 20,579.40 × 8,198.78
  4. Step 4: Simplify right side
    14,912.56x = 168,725,973.13
  5. Step 5: Solve for x
    x = 168,725,973.13/14,912.56
  6. Step 6: Final answer
    x = 11,314.35

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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.