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Finding the Fourth Proportional to 16,029.56, 24,046.28 and 6,675.92

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Solution

The fourth proportional to 16,029.56, 24,046.28 and 6,675.92 is: 10,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029.56 : 24,046.28 = 6,675.92 : x
  2. Step 2: Convert to fraction form
    16,029.56/24,046.28 = 6,675.92/x
  3. Step 3: Cross multiply
    16,029.56x = 24,046.28 × 6,675.92
  4. Step 4: Simplify right side
    16,029.56x = 160,530,887.97
  5. Step 5: Solve for x
    x = 160,530,887.97/16,029.56
  6. Step 6: Final answer
    x = 10,014.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.