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Finding the Fourth Proportional to 13,705.44, 20,558.09 and 3,317.19

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Solution

The fourth proportional to 13,705.44, 20,558.09 and 3,317.19 is: 4,975.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.44 : 20,558.09 = 3,317.19 : x
  2. Step 2: Convert to fraction form
    13,705.44/20,558.09 = 3,317.19/x
  3. Step 3: Cross multiply
    13,705.44x = 20,558.09 × 3,317.19
  4. Step 4: Simplify right side
    13,705.44x = 68,195,073.98
  5. Step 5: Solve for x
    x = 68,195,073.98/13,705.44
  6. Step 6: Final answer
    x = 4,975.77

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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.