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Finding the Fourth Proportional to 20,493, 30,738.96 and 5,701.32

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Solution

The fourth proportional to 20,493, 30,738.96 and 5,701.32 is: 8,551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493 : 30,738.96 = 5,701.32 : x
  2. Step 2: Convert to fraction form
    20,493/30,738.96 = 5,701.32/x
  3. Step 3: Cross multiply
    20,493x = 30,738.96 × 5,701.32
  4. Step 4: Simplify right side
    20,493x = 175,252,647.43
  5. Step 5: Solve for x
    x = 175,252,647.43/20,493
  6. Step 6: Final answer
    x = 8,551.83

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Why These Related Problems?

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