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Finding the Fourth Proportional to 13,683.56, 20,539.92 and 13,187.84

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Solution

The fourth proportional to 13,683.56, 20,539.92 and 13,187.84 is: 19,795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.56 : 20,539.92 = 13,187.84 : x
  2. Step 2: Convert to fraction form
    13,683.56/20,539.92 = 13,187.84/x
  3. Step 3: Cross multiply
    13,683.56x = 20,539.92 × 13,187.84
  4. Step 4: Simplify right side
    13,683.56x = 270,877,178.57
  5. Step 5: Solve for x
    x = 270,877,178.57/13,683.56
  6. Step 6: Final answer
    x = 19,795.81

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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.