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Finding the Fourth Proportional to 17,310.24, 25,965.14 and 8,424.18

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Solution

The fourth proportional to 17,310.24, 25,965.14 and 8,424.18 is: 12,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,310.24 : 25,965.14 = 8,424.18 : x
  2. Step 2: Convert to fraction form
    17,310.24/25,965.14 = 8,424.18/x
  3. Step 3: Cross multiply
    17,310.24x = 25,965.14 × 8,424.18
  4. Step 4: Simplify right side
    17,310.24x = 218,734,970.96
  5. Step 5: Solve for x
    x = 218,734,970.96/17,310.24
  6. Step 6: Final answer
    x = 12,636.16

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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.