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Finding the Fourth Proportional to 16,094.09, 24,132.89 and 6,731.54

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Solution

The fourth proportional to 16,094.09, 24,132.89 and 6,731.54 is: 10,093.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.09 : 24,132.89 = 6,731.54 : x
  2. Step 2: Convert to fraction form
    16,094.09/24,132.89 = 6,731.54/x
  3. Step 3: Cross multiply
    16,094.09x = 24,132.89 × 6,731.54
  4. Step 4: Simplify right side
    16,094.09x = 162,451,591.51
  5. Step 5: Solve for x
    x = 162,451,591.51/16,094.09
  6. Step 6: Final answer
    x = 10,093.87

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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.