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Finding the Fourth Proportional to 16,551.84, 24,794.16 and 8,206.80

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Solution

The fourth proportional to 16,551.84, 24,794.16 and 8,206.80 is: 12,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,551.84 : 24,794.16 = 8,206.80 : x
  2. Step 2: Convert to fraction form
    16,551.84/24,794.16 = 8,206.80/x
  3. Step 3: Cross multiply
    16,551.84x = 24,794.16 × 8,206.80
  4. Step 4: Simplify right side
    16,551.84x = 203,480,712.29
  5. Step 5: Solve for x
    x = 203,480,712.29/16,551.84
  6. Step 6: Final answer
    x = 12,293.54

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1.5x scale

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.