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Finding the Fourth Proportional to 13,683.18, 20,563.25 and 8,137.52

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Solution

The fourth proportional to 13,683.18, 20,563.25 and 8,137.52 is: 12,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.18 : 20,563.25 = 8,137.52 : x
  2. Step 2: Convert to fraction form
    13,683.18/20,563.25 = 8,137.52/x
  3. Step 3: Cross multiply
    13,683.18x = 20,563.25 × 8,137.52
  4. Step 4: Simplify right side
    13,683.18x = 167,333,858.14
  5. Step 5: Solve for x
    x = 167,333,858.14/13,683.18
  6. Step 6: Final answer
    x = 12,229.16

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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.