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Finding the Fourth Proportional to 20,489.60, 30,733.18 and 7,161.66

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Solution

The fourth proportional to 20,489.60, 30,733.18 and 7,161.66 is: 10,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.60 : 30,733.18 = 7,161.66 : x
  2. Step 2: Convert to fraction form
    20,489.60/30,733.18 = 7,161.66/x
  3. Step 3: Cross multiply
    20,489.60x = 30,733.18 × 7,161.66
  4. Step 4: Simplify right side
    20,489.60x = 220,100,585.88
  5. Step 5: Solve for x
    x = 220,100,585.88/20,489.60
  6. Step 6: Final answer
    x = 10,742.06

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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.