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Finding the Fourth Proportional to 20,626.88, 30,940.05 and 5,044.64

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Solution

The fourth proportional to 20,626.88, 30,940.05 and 5,044.64 is: 7,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,626.88 : 30,940.05 = 5,044.64 : x
  2. Step 2: Convert to fraction form
    20,626.88/30,940.05 = 5,044.64/x
  3. Step 3: Cross multiply
    20,626.88x = 30,940.05 × 5,044.64
  4. Step 4: Simplify right side
    20,626.88x = 156,081,413.83
  5. Step 5: Solve for x
    x = 156,081,413.83/20,626.88
  6. Step 6: Final answer
    x = 7,566.89

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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.