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Finding the Fourth Proportional to 16,383.80, 24,575.70 and 9,450.20

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Solution

The fourth proportional to 16,383.80, 24,575.70 and 9,450.20 is: 14,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.80 : 24,575.70 = 9,450.20 : x
  2. Step 2: Convert to fraction form
    16,383.80/24,575.70 = 9,450.20/x
  3. Step 3: Cross multiply
    16,383.80x = 24,575.70 × 9,450.20
  4. Step 4: Simplify right side
    16,383.80x = 232,245,280.14
  5. Step 5: Solve for x
    x = 232,245,280.14/16,383.80
  6. Step 6: Final answer
    x = 14,175.30

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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.