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Finding the Fourth Proportional to 17,723.78, 26,549.80 and 8,222.72

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Solution

The fourth proportional to 17,723.78, 26,549.80 and 8,222.72 is: 12,317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.78 : 26,549.80 = 8,222.72 : x
  2. Step 2: Convert to fraction form
    17,723.78/26,549.80 = 8,222.72/x
  3. Step 3: Cross multiply
    17,723.78x = 26,549.80 × 8,222.72
  4. Step 4: Simplify right side
    17,723.78x = 218,311,571.46
  5. Step 5: Solve for x
    x = 218,311,571.46/17,723.78
  6. Step 6: Final answer
    x = 12,317.44

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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.