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Finding the Fourth Proportional to 13,371.67, 20,051.43 and 7,826.41

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Solution

The fourth proportional to 13,371.67, 20,051.43 and 7,826.41 is: 11,736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,371.67 : 20,051.43 = 7,826.41 : x
  2. Step 2: Convert to fraction form
    13,371.67/20,051.43 = 7,826.41/x
  3. Step 3: Cross multiply
    13,371.67x = 20,051.43 × 7,826.41
  4. Step 4: Simplify right side
    13,371.67x = 156,930,712.27
  5. Step 5: Solve for x
    x = 156,930,712.27/13,371.67
  6. Step 6: Final answer
    x = 11,736.06

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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.