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Finding the Fourth Proportional to 16,738.62, 25,112.12 and 11,817.87

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Solution

The fourth proportional to 16,738.62, 25,112.12 and 11,817.87 is: 17,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738.62 : 25,112.12 = 11,817.87 : x
  2. Step 2: Convert to fraction form
    16,738.62/25,112.12 = 11,817.87/x
  3. Step 3: Cross multiply
    16,738.62x = 25,112.12 × 11,817.87
  4. Step 4: Simplify right side
    16,738.62x = 296,771,710.50
  5. Step 5: Solve for x
    x = 296,771,710.50/16,738.62
  6. Step 6: Final answer
    x = 17,729.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.