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Finding the Fourth Proportional to 16,512.80, 24,769.20 and 10,983.20

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Solution

The fourth proportional to 16,512.80, 24,769.20 and 10,983.20 is: 16,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512.80 : 24,769.20 = 10,983.20 : x
  2. Step 2: Convert to fraction form
    16,512.80/24,769.20 = 10,983.20/x
  3. Step 3: Cross multiply
    16,512.80x = 24,769.20 × 10,983.20
  4. Step 4: Simplify right side
    16,512.80x = 272,045,077.44
  5. Step 5: Solve for x
    x = 272,045,077.44/16,512.80
  6. Step 6: Final answer
    x = 16,474.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.