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Finding the Fourth Proportional to 28,129.38, 38,819.70 and 16,192.80

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Solution

The fourth proportional to 28,129.38, 38,819.70 and 16,192.80 is: 22,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,129.38 : 38,819.70 = 16,192.80 : x
  2. Step 2: Convert to fraction form
    28,129.38/38,819.70 = 16,192.80/x
  3. Step 3: Cross multiply
    28,129.38x = 38,819.70 × 16,192.80
  4. Step 4: Simplify right side
    28,129.38x = 628,599,638.16
  5. Step 5: Solve for x
    x = 628,599,638.16/28,129.38
  6. Step 6: Final answer
    x = 22,346.73

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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.