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Finding the Fourth Proportional to 17,489.88, 24,142.31 and 10,416.15

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Solution

The fourth proportional to 17,489.88, 24,142.31 and 10,416.15 is: 14,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,489.88 : 24,142.31 = 10,416.15 : x
  2. Step 2: Convert to fraction form
    17,489.88/24,142.31 = 10,416.15/x
  3. Step 3: Cross multiply
    17,489.88x = 24,142.31 × 10,416.15
  4. Step 4: Simplify right side
    17,489.88x = 251,469,922.31
  5. Step 5: Solve for x
    x = 251,469,922.31/17,489.88
  6. Step 6: Final answer
    x = 14,378.02

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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.