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Finding the Fourth Proportional to 13,666.80, 20,499 and 3,805.44

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Solution

The fourth proportional to 13,666.80, 20,499 and 3,805.44 is: 5,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.80 : 20,499 = 3,805.44 : x
  2. Step 2: Convert to fraction form
    13,666.80/20,499 = 3,805.44/x
  3. Step 3: Cross multiply
    13,666.80x = 20,499 × 3,805.44
  4. Step 4: Simplify right side
    13,666.80x = 78,007,714.56
  5. Step 5: Solve for x
    x = 78,007,714.56/13,666.80
  6. Step 6: Final answer
    x = 5,707.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.