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Finding the Fourth Proportional to 17,219.20, 25,843.20 and 8,461.60

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Solution

The fourth proportional to 17,219.20, 25,843.20 and 8,461.60 is: 12,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,219.20 : 25,843.20 = 8,461.60 : x
  2. Step 2: Convert to fraction form
    17,219.20/25,843.20 = 8,461.60/x
  3. Step 3: Cross multiply
    17,219.20x = 25,843.20 × 8,461.60
  4. Step 4: Simplify right side
    17,219.20x = 218,674,821.12
  5. Step 5: Solve for x
    x = 218,674,821.12/17,219.20
  6. Step 6: Final answer
    x = 12,699.48

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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.