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Finding the Fourth Proportional to 17,200.80, 25,784.19 and 8,299.71

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Solution

The fourth proportional to 17,200.80, 25,784.19 and 8,299.71 is: 12,441.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.80 : 25,784.19 = 8,299.71 : x
  2. Step 2: Convert to fraction form
    17,200.80/25,784.19 = 8,299.71/x
  3. Step 3: Cross multiply
    17,200.80x = 25,784.19 × 8,299.71
  4. Step 4: Simplify right side
    17,200.80x = 214,001,299.58
  5. Step 5: Solve for x
    x = 214,001,299.58/17,200.80
  6. Step 6: Final answer
    x = 12,441.36

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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.