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Finding the Fourth Proportional to 17,770.30, 26,631.15 and 11,830.30

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Solution

The fourth proportional to 17,770.30, 26,631.15 and 11,830.30 is: 17,729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.30 : 26,631.15 = 11,830.30 : x
  2. Step 2: Convert to fraction form
    17,770.30/26,631.15 = 11,830.30/x
  3. Step 3: Cross multiply
    17,770.30x = 26,631.15 × 11,830.30
  4. Step 4: Simplify right side
    17,770.30x = 315,054,493.85
  5. Step 5: Solve for x
    x = 315,054,493.85/17,770.30
  6. Step 6: Final answer
    x = 17,729.27

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