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Finding the Fourth Proportional to 20,511.60, 30,767.40 and 13,513.20

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Solution

The fourth proportional to 20,511.60, 30,767.40 and 13,513.20 is: 20,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511.60 : 30,767.40 = 13,513.20 : x
  2. Step 2: Convert to fraction form
    20,511.60/30,767.40 = 13,513.20/x
  3. Step 3: Cross multiply
    20,511.60x = 30,767.40 × 13,513.20
  4. Step 4: Simplify right side
    20,511.60x = 415,766,029.68
  5. Step 5: Solve for x
    x = 415,766,029.68/20,511.60
  6. Step 6: Final answer
    x = 20,269.80

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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.