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Finding the Fourth Proportional to 16,522.80, 24,784.20 and 9,961.80

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Solution

The fourth proportional to 16,522.80, 24,784.20 and 9,961.80 is: 14,942.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522.80 : 24,784.20 = 9,961.80 : x
  2. Step 2: Convert to fraction form
    16,522.80/24,784.20 = 9,961.80/x
  3. Step 3: Cross multiply
    16,522.80x = 24,784.20 × 9,961.80
  4. Step 4: Simplify right side
    16,522.80x = 246,895,243.56
  5. Step 5: Solve for x
    x = 246,895,243.56/16,522.80
  6. Step 6: Final answer
    x = 14,942.70

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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.