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Finding the Fourth Proportional to 20,484.28, 30,728.62 and 5,693.24

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Solution

The fourth proportional to 20,484.28, 30,728.62 and 5,693.24 is: 8,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,484.28 : 30,728.62 = 5,693.24 : x
  2. Step 2: Convert to fraction form
    20,484.28/30,728.62 = 5,693.24/x
  3. Step 3: Cross multiply
    20,484.28x = 30,728.62 × 5,693.24
  4. Step 4: Simplify right side
    20,484.28x = 174,945,408.53
  5. Step 5: Solve for x
    x = 174,945,408.53/20,484.28
  6. Step 6: Final answer
    x = 8,540.47

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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.