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Finding the Fourth Proportional to 16,269.84, 24,418.80 and 7,956

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Solution

The fourth proportional to 16,269.84, 24,418.80 and 7,956 is: 11,940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,269.84 : 24,418.80 = 7,956 : x
  2. Step 2: Convert to fraction form
    16,269.84/24,418.80 = 7,956/x
  3. Step 3: Cross multiply
    16,269.84x = 24,418.80 × 7,956
  4. Step 4: Simplify right side
    16,269.84x = 194,275,972.80
  5. Step 5: Solve for x
    x = 194,275,972.80/16,269.84
  6. Step 6: Final answer
    x = 11,940.87

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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.