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Finding the Fourth Proportional to 13,513.88, 20,265.60 and 6,489.42

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Solution

The fourth proportional to 13,513.88, 20,265.60 and 6,489.42 is: 9,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.88 : 20,265.60 = 6,489.42 : x
  2. Step 2: Convert to fraction form
    13,513.88/20,265.60 = 6,489.42/x
  3. Step 3: Cross multiply
    13,513.88x = 20,265.60 × 6,489.42
  4. Step 4: Simplify right side
    13,513.88x = 131,511,989.95
  5. Step 5: Solve for x
    x = 131,511,989.95/13,513.88
  6. Step 6: Final answer
    x = 9,731.62

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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.