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Finding the Fourth Proportional to 13,543.68, 20,315.97 and 3,683.19

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Solution

The fourth proportional to 13,543.68, 20,315.97 and 3,683.19 is: 5,524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.68 : 20,315.97 = 3,683.19 : x
  2. Step 2: Convert to fraction form
    13,543.68/20,315.97 = 3,683.19/x
  3. Step 3: Cross multiply
    13,543.68x = 20,315.97 × 3,683.19
  4. Step 4: Simplify right side
    13,543.68x = 74,827,577.54
  5. Step 5: Solve for x
    x = 74,827,577.54/13,543.68
  6. Step 6: Final answer
    x = 5,524.91

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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.