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Finding the Fourth Proportional to 17,674.56, 24,398.25 and 12,640.80

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Solution

The fourth proportional to 17,674.56, 24,398.25 and 12,640.80 is: 17,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.56 : 24,398.25 = 12,640.80 : x
  2. Step 2: Convert to fraction form
    17,674.56/24,398.25 = 12,640.80/x
  3. Step 3: Cross multiply
    17,674.56x = 24,398.25 × 12,640.80
  4. Step 4: Simplify right side
    17,674.56x = 308,413,398.60
  5. Step 5: Solve for x
    x = 308,413,398.60/17,674.56
  6. Step 6: Final answer
    x = 17,449.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.