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Finding the Fourth Proportional to 13,705.09, 20,558.32 and 4,471.09

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Solution

The fourth proportional to 13,705.09, 20,558.32 and 4,471.09 is: 6,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.09 : 20,558.32 = 4,471.09 : x
  2. Step 2: Convert to fraction form
    13,705.09/20,558.32 = 4,471.09/x
  3. Step 3: Cross multiply
    13,705.09x = 20,558.32 × 4,471.09
  4. Step 4: Simplify right side
    13,705.09x = 91,918,098.97
  5. Step 5: Solve for x
    x = 91,918,098.97/13,705.09
  6. Step 6: Final answer
    x = 6,706.86

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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.