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Finding the Fourth Proportional to 13,676.76, 20,471.34 and 7,093.92

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Solution

The fourth proportional to 13,676.76, 20,471.34 and 7,093.92 is: 10,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.76 : 20,471.34 = 7,093.92 : x
  2. Step 2: Convert to fraction form
    13,676.76/20,471.34 = 7,093.92/x
  3. Step 3: Cross multiply
    13,676.76x = 20,471.34 × 7,093.92
  4. Step 4: Simplify right side
    13,676.76x = 145,222,048.25
  5. Step 5: Solve for x
    x = 145,222,048.25/13,676.76
  6. Step 6: Final answer
    x = 10,618.16

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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.