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Finding the Fourth Proportional to 17,201.80, 25,785.69 and 8,300.71

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Solution

The fourth proportional to 17,201.80, 25,785.69 and 8,300.71 is: 12,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.80 : 25,785.69 = 8,300.71 : x
  2. Step 2: Convert to fraction form
    17,201.80/25,785.69 = 8,300.71/x
  3. Step 3: Cross multiply
    17,201.80x = 25,785.69 × 8,300.71
  4. Step 4: Simplify right side
    17,201.80x = 214,039,534.84
  5. Step 5: Solve for x
    x = 214,039,534.84/17,201.80
  6. Step 6: Final answer
    x = 12,442.86

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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.