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Finding the Fourth Proportional to 14,842.31, 20,481.60 and 8,126.64

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Solution

The fourth proportional to 14,842.31, 20,481.60 and 8,126.64 is: 11,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.31 : 20,481.60 = 8,126.64 : x
  2. Step 2: Convert to fraction form
    14,842.31/20,481.60 = 8,126.64/x
  3. Step 3: Cross multiply
    14,842.31x = 20,481.60 × 8,126.64
  4. Step 4: Simplify right side
    14,842.31x = 166,446,589.82
  5. Step 5: Solve for x
    x = 166,446,589.82/14,842.31
  6. Step 6: Final answer
    x = 11,214.34

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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.