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Finding the Fourth Proportional to 13,755.56, 20,634.06 and 8,211.56

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Solution

The fourth proportional to 13,755.56, 20,634.06 and 8,211.56 is: 12,317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.56 : 20,634.06 = 8,211.56 : x
  2. Step 2: Convert to fraction form
    13,755.56/20,634.06 = 8,211.56/x
  3. Step 3: Cross multiply
    13,755.56x = 20,634.06 × 8,211.56
  4. Step 4: Simplify right side
    13,755.56x = 169,437,821.73
  5. Step 5: Solve for x
    x = 169,437,821.73/13,755.56
  6. Step 6: Final answer
    x = 12,317.77

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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.