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Finding the Fourth Proportional to 17,922.44, 24,733.80 and 9,964.79

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Solution

The fourth proportional to 17,922.44, 24,733.80 and 9,964.79 is: 13,751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.44 : 24,733.80 = 9,964.79 : x
  2. Step 2: Convert to fraction form
    17,922.44/24,733.80 = 9,964.79/x
  3. Step 3: Cross multiply
    17,922.44x = 24,733.80 × 9,964.79
  4. Step 4: Simplify right side
    17,922.44x = 246,466,999.23
  5. Step 5: Solve for x
    x = 246,466,999.23/17,922.44
  6. Step 6: Final answer
    x = 13,751.87

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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.