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Finding the Fourth Proportional to 16,227.81, 24,333.75 and 5,697.54

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Solution

The fourth proportional to 16,227.81, 24,333.75 and 5,697.54 is: 8,543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227.81 : 24,333.75 = 5,697.54 : x
  2. Step 2: Convert to fraction form
    16,227.81/24,333.75 = 5,697.54/x
  3. Step 3: Cross multiply
    16,227.81x = 24,333.75 × 5,697.54
  4. Step 4: Simplify right side
    16,227.81x = 138,642,513.98
  5. Step 5: Solve for x
    x = 138,642,513.98/16,227.81
  6. Step 6: Final answer
    x = 8,543.51

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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.