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Finding the Fourth Proportional to 28,738, 39,658.44 and 16,163.02

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Solution

The fourth proportional to 28,738, 39,658.44 and 16,163.02 is: 22,304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,738 : 39,658.44 = 16,163.02 : x
  2. Step 2: Convert to fraction form
    28,738/39,658.44 = 16,163.02/x
  3. Step 3: Cross multiply
    28,738x = 39,658.44 × 16,163.02
  4. Step 4: Simplify right side
    28,738x = 641,000,158.89
  5. Step 5: Solve for x
    x = 641,000,158.89/28,738
  6. Step 6: Final answer
    x = 22,304.97

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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.