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Finding the Fourth Proportional to 17,229.20, 23,777.24 and 13,030.16

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Solution

The fourth proportional to 17,229.20, 23,777.24 and 13,030.16 is: 17,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,229.20 : 23,777.24 = 13,030.16 : x
  2. Step 2: Convert to fraction form
    17,229.20/23,777.24 = 13,030.16/x
  3. Step 3: Cross multiply
    17,229.20x = 23,777.24 × 13,030.16
  4. Step 4: Simplify right side
    17,229.20x = 309,821,241.56
  5. Step 5: Solve for x
    x = 309,821,241.56/17,229.20
  6. Step 6: Final answer
    x = 17,982.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.