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Finding the Fourth Proportional to 20,521.57, 30,782.36 and 4,939.20

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Solution

The fourth proportional to 20,521.57, 30,782.36 and 4,939.20 is: 7,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,521.57 : 30,782.36 = 4,939.20 : x
  2. Step 2: Convert to fraction form
    20,521.57/30,782.36 = 4,939.20/x
  3. Step 3: Cross multiply
    20,521.57x = 30,782.36 × 4,939.20
  4. Step 4: Simplify right side
    20,521.57x = 152,040,129.43
  5. Step 5: Solve for x
    x = 152,040,129.43/20,521.57
  6. Step 6: Final answer
    x = 7,408.80

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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.