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Finding the Fourth Proportional to 16,510.62, 24,766.41 and 4,198.62

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Solution

The fourth proportional to 16,510.62, 24,766.41 and 4,198.62 is: 6,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.62 : 24,766.41 = 4,198.62 : x
  2. Step 2: Convert to fraction form
    16,510.62/24,766.41 = 4,198.62/x
  3. Step 3: Cross multiply
    16,510.62x = 24,766.41 × 4,198.62
  4. Step 4: Simplify right side
    16,510.62x = 103,984,744.35
  5. Step 5: Solve for x
    x = 103,984,744.35/16,510.62
  6. Step 6: Final answer
    x = 6,298.05

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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.