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Finding the Fourth Proportional to 16,510, 24,768.84 and 5,566

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Solution

The fourth proportional to 16,510, 24,768.84 and 5,566 is: 8,350.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510 : 24,768.84 = 5,566 : x
  2. Step 2: Convert to fraction form
    16,510/24,768.84 = 5,566/x
  3. Step 3: Cross multiply
    16,510x = 24,768.84 × 5,566
  4. Step 4: Simplify right side
    16,510x = 137,863,363.44
  5. Step 5: Solve for x
    x = 137,863,363.44/16,510
  6. Step 6: Final answer
    x = 8,350.29

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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.