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Finding the Fourth Proportional to 28,149.44, 42,224.16 and 9,680

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Solution

The fourth proportional to 28,149.44, 42,224.16 and 9,680 is: 14,520.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,149.44 : 42,224.16 = 9,680 : x
  2. Step 2: Convert to fraction form
    28,149.44/42,224.16 = 9,680/x
  3. Step 3: Cross multiply
    28,149.44x = 42,224.16 × 9,680
  4. Step 4: Simplify right side
    28,149.44x = 408,729,868.80
  5. Step 5: Solve for x
    x = 408,729,868.80/28,149.44
  6. Step 6: Final answer
    x = 14,520.00

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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.