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Finding the Fourth Proportional to 13,620.96, 20,414.43 and 5,820.66

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Solution

The fourth proportional to 13,620.96, 20,414.43 and 5,820.66 is: 8,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620.96 : 20,414.43 = 5,820.66 : x
  2. Step 2: Convert to fraction form
    13,620.96/20,414.43 = 5,820.66/x
  3. Step 3: Cross multiply
    13,620.96x = 20,414.43 × 5,820.66
  4. Step 4: Simplify right side
    13,620.96x = 118,825,456.12
  5. Step 5: Solve for x
    x = 118,825,456.12/13,620.96
  6. Step 6: Final answer
    x = 8,723.72

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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.