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Finding the Fourth Proportional to 17,204.20, 25,809.82 and 9,812.20

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Solution

The fourth proportional to 17,204.20, 25,809.82 and 9,812.20 is: 14,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.20 : 25,809.82 = 9,812.20 : x
  2. Step 2: Convert to fraction form
    17,204.20/25,809.82 = 9,812.20/x
  3. Step 3: Cross multiply
    17,204.20x = 25,809.82 × 9,812.20
  4. Step 4: Simplify right side
    17,204.20x = 253,251,115.80
  5. Step 5: Solve for x
    x = 253,251,115.80/17,204.20
  6. Step 6: Final answer
    x = 14,720.31

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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.