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Finding the Fourth Proportional to 20,229.36, 30,345.48 and 6,378

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Solution

The fourth proportional to 20,229.36, 30,345.48 and 6,378 is: 9,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.36 : 30,345.48 = 6,378 : x
  2. Step 2: Convert to fraction form
    20,229.36/30,345.48 = 6,378/x
  3. Step 3: Cross multiply
    20,229.36x = 30,345.48 × 6,378
  4. Step 4: Simplify right side
    20,229.36x = 193,543,471.44
  5. Step 5: Solve for x
    x = 193,543,471.44/20,229.36
  6. Step 6: Final answer
    x = 9,567.45

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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.