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Finding the Fourth Proportional to 16,950, 23,392.44 and 9,499.44

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Solution

The fourth proportional to 16,950, 23,392.44 and 9,499.44 is: 13,110.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,950 : 23,392.44 = 9,499.44 : x
  2. Step 2: Convert to fraction form
    16,950/23,392.44 = 9,499.44/x
  3. Step 3: Cross multiply
    16,950x = 23,392.44 × 9,499.44
  4. Step 4: Simplify right side
    16,950x = 222,215,080.23
  5. Step 5: Solve for x
    x = 222,215,080.23/16,950
  6. Step 6: Final answer
    x = 13,110.03

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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.