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Finding the Fourth Proportional to 16,549, 24,823.50 and 7,198.36

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Solution

The fourth proportional to 16,549, 24,823.50 and 7,198.36 is: 10,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549 : 24,823.50 = 7,198.36 : x
  2. Step 2: Convert to fraction form
    16,549/24,823.50 = 7,198.36/x
  3. Step 3: Cross multiply
    16,549x = 24,823.50 × 7,198.36
  4. Step 4: Simplify right side
    16,549x = 178,688,489.46
  5. Step 5: Solve for x
    x = 178,688,489.46/16,549
  6. Step 6: Final answer
    x = 10,797.54

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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.