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Finding the Fourth Proportional to 13,517.68, 20,268.24 and 4,753.60

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Solution

The fourth proportional to 13,517.68, 20,268.24 and 4,753.60 is: 7,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.68 : 20,268.24 = 4,753.60 : x
  2. Step 2: Convert to fraction form
    13,517.68/20,268.24 = 4,753.60/x
  3. Step 3: Cross multiply
    13,517.68x = 20,268.24 × 4,753.60
  4. Step 4: Simplify right side
    13,517.68x = 96,347,105.66
  5. Step 5: Solve for x
    x = 96,347,105.66/13,517.68
  6. Step 6: Final answer
    x = 7,127.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.