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Finding the Fourth Proportional to 20,235.75, 30,358.49 and 6,384.75

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Solution

The fourth proportional to 20,235.75, 30,358.49 and 6,384.75 is: 9,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,235.75 : 30,358.49 = 6,384.75 : x
  2. Step 2: Convert to fraction form
    20,235.75/30,358.49 = 6,384.75/x
  3. Step 3: Cross multiply
    20,235.75x = 30,358.49 × 6,384.75
  4. Step 4: Simplify right side
    20,235.75x = 193,831,369.03
  5. Step 5: Solve for x
    x = 193,831,369.03/20,235.75
  6. Step 6: Final answer
    x = 9,578.66

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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.