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Finding the Fourth Proportional to 12,755.30, 19,104.09 and 6,821.70

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Solution

The fourth proportional to 12,755.30, 19,104.09 and 6,821.70 is: 10,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,755.30 : 19,104.09 = 6,821.70 : x
  2. Step 2: Convert to fraction form
    12,755.30/19,104.09 = 6,821.70/x
  3. Step 3: Cross multiply
    12,755.30x = 19,104.09 × 6,821.70
  4. Step 4: Simplify right side
    12,755.30x = 130,322,370.75
  5. Step 5: Solve for x
    x = 130,322,370.75/12,755.30
  6. Step 6: Final answer
    x = 10,217.12

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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.