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Finding the Fourth Proportional to 20,608.16, 30,914.27 and 5,817.20

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Solution

The fourth proportional to 20,608.16, 30,914.27 and 5,817.20 is: 8,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,608.16 : 30,914.27 = 5,817.20 : x
  2. Step 2: Convert to fraction form
    20,608.16/30,914.27 = 5,817.20/x
  3. Step 3: Cross multiply
    20,608.16x = 30,914.27 × 5,817.20
  4. Step 4: Simplify right side
    20,608.16x = 179,834,491.44
  5. Step 5: Solve for x
    x = 179,834,491.44/20,608.16
  6. Step 6: Final answer
    x = 8,726.37

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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.