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Finding the Fourth Proportional to 13,792.77, 20,676.85 and 11,471.82

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Solution

The fourth proportional to 13,792.77, 20,676.85 and 11,471.82 is: 17,197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.77 : 20,676.85 = 11,471.82 : x
  2. Step 2: Convert to fraction form
    13,792.77/20,676.85 = 11,471.82/x
  3. Step 3: Cross multiply
    13,792.77x = 20,676.85 × 11,471.82
  4. Step 4: Simplify right side
    13,792.77x = 237,200,997.98
  5. Step 5: Solve for x
    x = 237,200,997.98/13,792.77
  6. Step 6: Final answer
    x = 17,197.49

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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.