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Finding the Fourth Proportional to 28,861.38, 39,829.50 and 16,114.07

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Solution

The fourth proportional to 28,861.38, 39,829.50 and 16,114.07 is: 22,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,861.38 : 39,829.50 = 16,114.07 : x
  2. Step 2: Convert to fraction form
    28,861.38/39,829.50 = 16,114.07/x
  3. Step 3: Cross multiply
    28,861.38x = 39,829.50 × 16,114.07
  4. Step 4: Simplify right side
    28,861.38x = 641,815,351.07
  5. Step 5: Solve for x
    x = 641,815,351.07/28,861.38
  6. Step 6: Final answer
    x = 22,237.86

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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.