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Finding the Fourth Proportional to 17,383.12, 23,982.42 and 11,418

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Solution

The fourth proportional to 17,383.12, 23,982.42 and 11,418 is: 15,752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,383.12 : 23,982.42 = 11,418 : x
  2. Step 2: Convert to fraction form
    17,383.12/23,982.42 = 11,418/x
  3. Step 3: Cross multiply
    17,383.12x = 23,982.42 × 11,418
  4. Step 4: Simplify right side
    17,383.12x = 273,831,271.56
  5. Step 5: Solve for x
    x = 273,831,271.56/17,383.12
  6. Step 6: Final answer
    x = 15,752.71

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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.