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Finding the Fourth Proportional to 20,782.98, 28,691.01 and 16,235.64

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Solution

The fourth proportional to 20,782.98, 28,691.01 and 16,235.64 is: 22,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.98 : 28,691.01 = 16,235.64 : x
  2. Step 2: Convert to fraction form
    20,782.98/28,691.01 = 16,235.64/x
  3. Step 3: Cross multiply
    20,782.98x = 28,691.01 × 16,235.64
  4. Step 4: Simplify right side
    20,782.98x = 465,816,909.60
  5. Step 5: Solve for x
    x = 465,816,909.60/20,782.98
  6. Step 6: Final answer
    x = 22,413.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.