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Finding the Fourth Proportional to 16,997.38, 23,449.84 and 12,531.75

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Solution

The fourth proportional to 16,997.38, 23,449.84 and 12,531.75 is: 17,288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,997.38 : 23,449.84 = 12,531.75 : x
  2. Step 2: Convert to fraction form
    16,997.38/23,449.84 = 12,531.75/x
  3. Step 3: Cross multiply
    16,997.38x = 23,449.84 × 12,531.75
  4. Step 4: Simplify right side
    16,997.38x = 293,867,615.55
  5. Step 5: Solve for x
    x = 293,867,615.55/16,997.38
  6. Step 6: Final answer
    x = 17,288.99

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Why These Related Problems?

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