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Finding the Fourth Proportional to 16,744.96, 23,108.76 and 10,029.31

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Solution

The fourth proportional to 16,744.96, 23,108.76 and 10,029.31 is: 13,840.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,744.96 : 23,108.76 = 10,029.31 : x
  2. Step 2: Convert to fraction form
    16,744.96/23,108.76 = 10,029.31/x
  3. Step 3: Cross multiply
    16,744.96x = 23,108.76 × 10,029.31
  4. Step 4: Simplify right side
    16,744.96x = 231,764,917.76
  5. Step 5: Solve for x
    x = 231,764,917.76/16,744.96
  6. Step 6: Final answer
    x = 13,840.88

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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.