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Finding the Fourth Proportional to 20,484.50, 30,728.41 and 5,693.42

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Solution

The fourth proportional to 20,484.50, 30,728.41 and 5,693.42 is: 8,540.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,484.50 : 30,728.41 = 5,693.42 : x
  2. Step 2: Convert to fraction form
    20,484.50/30,728.41 = 5,693.42/x
  3. Step 3: Cross multiply
    20,484.50x = 30,728.41 × 5,693.42
  4. Step 4: Simplify right side
    20,484.50x = 174,949,806.65
  5. Step 5: Solve for x
    x = 174,949,806.65/20,484.50
  6. Step 6: Final answer
    x = 8,540.60

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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.