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Finding the Fourth Proportional to 17,226, 23,768.20 and 10,149.84

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Solution

The fourth proportional to 17,226, 23,768.20 and 10,149.84 is: 14,004.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,226 : 23,768.20 = 10,149.84 : x
  2. Step 2: Convert to fraction form
    17,226/23,768.20 = 10,149.84/x
  3. Step 3: Cross multiply
    17,226x = 23,768.20 × 10,149.84
  4. Step 4: Simplify right side
    17,226x = 241,243,427.09
  5. Step 5: Solve for x
    x = 241,243,427.09/17,226
  6. Step 6: Final answer
    x = 14,004.61

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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.