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Finding the Fourth Proportional to 17,737.92, 26,609.31 and 6,048

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Solution

The fourth proportional to 17,737.92, 26,609.31 and 6,048 is: 9,072.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.92 : 26,609.31 = 6,048 : x
  2. Step 2: Convert to fraction form
    17,737.92/26,609.31 = 6,048/x
  3. Step 3: Cross multiply
    17,737.92x = 26,609.31 × 6,048
  4. Step 4: Simplify right side
    17,737.92x = 160,933,106.88
  5. Step 5: Solve for x
    x = 160,933,106.88/17,737.92
  6. Step 6: Final answer
    x = 9,072.83

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Why These Related Problems?

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