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Finding the Fourth Proportional to 17,745.70, 26,582.10 and 12,205.30

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Solution

The fourth proportional to 17,745.70, 26,582.10 and 12,205.30 is: 18,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.70 : 26,582.10 = 12,205.30 : x
  2. Step 2: Convert to fraction form
    17,745.70/26,582.10 = 12,205.30/x
  3. Step 3: Cross multiply
    17,745.70x = 26,582.10 × 12,205.30
  4. Step 4: Simplify right side
    17,745.70x = 324,442,505.13
  5. Step 5: Solve for x
    x = 324,442,505.13/17,745.70
  6. Step 6: Final answer
    x = 18,282.88

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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.