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Finding the Fourth Proportional to 13,671.63, 20,471.96 and 11,709.89

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Solution

The fourth proportional to 13,671.63, 20,471.96 and 11,709.89 is: 17,534.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.63 : 20,471.96 = 11,709.89 : x
  2. Step 2: Convert to fraction form
    13,671.63/20,471.96 = 11,709.89/x
  3. Step 3: Cross multiply
    13,671.63x = 20,471.96 × 11,709.89
  4. Step 4: Simplify right side
    13,671.63x = 239,724,238.78
  5. Step 5: Solve for x
    x = 239,724,238.78/13,671.63
  6. Step 6: Final answer
    x = 17,534.43

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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.