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Finding the Fourth Proportional to 16,100.40, 24,161.40 and 9,519.60

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Solution

The fourth proportional to 16,100.40, 24,161.40 and 9,519.60 is: 14,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100.40 : 24,161.40 = 9,519.60 : x
  2. Step 2: Convert to fraction form
    16,100.40/24,161.40 = 9,519.60/x
  3. Step 3: Cross multiply
    16,100.40x = 24,161.40 × 9,519.60
  4. Step 4: Simplify right side
    16,100.40x = 230,006,863.44
  5. Step 5: Solve for x
    x = 230,006,863.44/16,100.40
  6. Step 6: Final answer
    x = 14,285.79

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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.