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Finding the Fourth Proportional to 17,229.84, 25,811.10 and 8,211.12

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Solution

The fourth proportional to 17,229.84, 25,811.10 and 8,211.12 is: 12,300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,229.84 : 25,811.10 = 8,211.12 : x
  2. Step 2: Convert to fraction form
    17,229.84/25,811.10 = 8,211.12/x
  3. Step 3: Cross multiply
    17,229.84x = 25,811.10 × 8,211.12
  4. Step 4: Simplify right side
    17,229.84x = 211,938,039.43
  5. Step 5: Solve for x
    x = 211,938,039.43/17,229.84
  6. Step 6: Final answer
    x = 12,300.64

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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.