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Finding the Fourth Proportional to 20,483.25, 30,729.75 and 6,632.25

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Solution

The fourth proportional to 20,483.25, 30,729.75 and 6,632.25 is: 9,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,483.25 : 30,729.75 = 6,632.25 : x
  2. Step 2: Convert to fraction form
    20,483.25/30,729.75 = 6,632.25/x
  3. Step 3: Cross multiply
    20,483.25x = 30,729.75 × 6,632.25
  4. Step 4: Simplify right side
    20,483.25x = 203,807,384.44
  5. Step 5: Solve for x
    x = 203,807,384.44/20,483.25
  6. Step 6: Final answer
    x = 9,949.95

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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.