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Finding the Fourth Proportional to 16,089.91, 24,138.51 and 5,701.66

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Solution

The fourth proportional to 16,089.91, 24,138.51 and 5,701.66 is: 8,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,089.91 : 24,138.51 = 5,701.66 : x
  2. Step 2: Convert to fraction form
    16,089.91/24,138.51 = 5,701.66/x
  3. Step 3: Cross multiply
    16,089.91x = 24,138.51 × 5,701.66
  4. Step 4: Simplify right side
    16,089.91x = 137,629,576.93
  5. Step 5: Solve for x
    x = 137,629,576.93/16,089.91
  6. Step 6: Final answer
    x = 8,553.78

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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.