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Finding the Fourth Proportional to 28,129.97, 38,811.01 and 16,193

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Solution

The fourth proportional to 28,129.97, 38,811.01 and 16,193 is: 22,341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,129.97 : 38,811.01 = 16,193 : x
  2. Step 2: Convert to fraction form
    28,129.97/38,811.01 = 16,193/x
  3. Step 3: Cross multiply
    28,129.97x = 38,811.01 × 16,193
  4. Step 4: Simplify right side
    28,129.97x = 628,466,684.93
  5. Step 5: Solve for x
    x = 628,466,684.93/28,129.97
  6. Step 6: Final answer
    x = 22,341.53

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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.