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Finding the Fourth Proportional to 20,850, 28,773 and 11,418.63

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Solution

The fourth proportional to 20,850, 28,773 and 11,418.63 is: 15,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850 : 28,773 = 11,418.63 : x
  2. Step 2: Convert to fraction form
    20,850/28,773 = 11,418.63/x
  3. Step 3: Cross multiply
    20,850x = 28,773 × 11,418.63
  4. Step 4: Simplify right side
    20,850x = 328,548,240.99
  5. Step 5: Solve for x
    x = 328,548,240.99/20,850
  6. Step 6: Final answer
    x = 15,757.71

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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.