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Finding the Fourth Proportional to 17,517.96, 24,181 and 10,347.88

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Solution

The fourth proportional to 17,517.96, 24,181 and 10,347.88 is: 14,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,517.96 : 24,181 = 10,347.88 : x
  2. Step 2: Convert to fraction form
    17,517.96/24,181 = 10,347.88/x
  3. Step 3: Cross multiply
    17,517.96x = 24,181 × 10,347.88
  4. Step 4: Simplify right side
    17,517.96x = 250,222,086.28
  5. Step 5: Solve for x
    x = 250,222,086.28/17,517.96
  6. Step 6: Final answer
    x = 14,283.75

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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.