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Finding the Fourth Proportional to 17,202.55, 25,786.81 and 8,301.46

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Solution

The fourth proportional to 17,202.55, 25,786.81 and 8,301.46 is: 12,443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.55 : 25,786.81 = 8,301.46 : x
  2. Step 2: Convert to fraction form
    17,202.55/25,786.81 = 8,301.46/x
  3. Step 3: Cross multiply
    17,202.55x = 25,786.81 × 8,301.46
  4. Step 4: Simplify right side
    17,202.55x = 214,068,171.74
  5. Step 5: Solve for x
    x = 214,068,171.74/17,202.55
  6. Step 6: Final answer
    x = 12,443.98

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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.