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Finding the Fourth Proportional to 20,229.92, 30,344.88 and 6,380

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Solution

The fourth proportional to 20,229.92, 30,344.88 and 6,380 is: 9,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.92 : 30,344.88 = 6,380 : x
  2. Step 2: Convert to fraction form
    20,229.92/30,344.88 = 6,380/x
  3. Step 3: Cross multiply
    20,229.92x = 30,344.88 × 6,380
  4. Step 4: Simplify right side
    20,229.92x = 193,600,334.40
  5. Step 5: Solve for x
    x = 193,600,334.40/20,229.92
  6. Step 6: Final answer
    x = 9,570.00

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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.