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Finding the Fourth Proportional to 20,476.43, 30,711.22 and 5,686.84

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Solution

The fourth proportional to 20,476.43, 30,711.22 and 5,686.84 is: 8,529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,476.43 : 30,711.22 = 5,686.84 : x
  2. Step 2: Convert to fraction form
    20,476.43/30,711.22 = 5,686.84/x
  3. Step 3: Cross multiply
    20,476.43x = 30,711.22 × 5,686.84
  4. Step 4: Simplify right side
    20,476.43x = 174,649,765.91
  5. Step 5: Solve for x
    x = 174,649,765.91/20,476.43
  6. Step 6: Final answer
    x = 8,529.31

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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.