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Finding the Fourth Proportional to 20,496.84, 30,742.10 and 5,704.20

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Solution

The fourth proportional to 20,496.84, 30,742.10 and 5,704.20 is: 8,555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496.84 : 30,742.10 = 5,704.20 : x
  2. Step 2: Convert to fraction form
    20,496.84/30,742.10 = 5,704.20/x
  3. Step 3: Cross multiply
    20,496.84x = 30,742.10 × 5,704.20
  4. Step 4: Simplify right side
    20,496.84x = 175,359,086.82
  5. Step 5: Solve for x
    x = 175,359,086.82/20,496.84
  6. Step 6: Final answer
    x = 8,555.42

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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.