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Finding the Fourth Proportional to 12,832.50, 17,723.43 and 8,633.46

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Solution

The fourth proportional to 12,832.50, 17,723.43 and 8,633.46 is: 11,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.50 : 17,723.43 = 8,633.46 : x
  2. Step 2: Convert to fraction form
    12,832.50/17,723.43 = 8,633.46/x
  3. Step 3: Cross multiply
    12,832.50x = 17,723.43 × 8,633.46
  4. Step 4: Simplify right side
    12,832.50x = 153,014,523.97
  5. Step 5: Solve for x
    x = 153,014,523.97/12,832.50
  6. Step 6: Final answer
    x = 11,923.98

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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.