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Finding the Fourth Proportional to 16,279.38, 22,457.43 and 10,964.97

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Solution

The fourth proportional to 16,279.38, 22,457.43 and 10,964.97 is: 15,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.38 : 22,457.43 = 10,964.97 : x
  2. Step 2: Convert to fraction form
    16,279.38/22,457.43 = 10,964.97/x
  3. Step 3: Cross multiply
    16,279.38x = 22,457.43 × 10,964.97
  4. Step 4: Simplify right side
    16,279.38x = 246,245,046.23
  5. Step 5: Solve for x
    x = 246,245,046.23/16,279.38
  6. Step 6: Final answer
    x = 15,126.19

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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.