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Finding the Fourth Proportional to 13,471.14, 20,207.79 and 3,610.33

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Solution

The fourth proportional to 13,471.14, 20,207.79 and 3,610.33 is: 5,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.14 : 20,207.79 = 3,610.33 : x
  2. Step 2: Convert to fraction form
    13,471.14/20,207.79 = 3,610.33/x
  3. Step 3: Cross multiply
    13,471.14x = 20,207.79 × 3,610.33
  4. Step 4: Simplify right side
    13,471.14x = 72,956,790.47
  5. Step 5: Solve for x
    x = 72,956,790.47/13,471.14
  6. Step 6: Final answer
    x = 5,415.78

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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.