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Finding the Fourth Proportional to 17,267.05, 23,828.29 and 9,713.38

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Solution

The fourth proportional to 17,267.05, 23,828.29 and 9,713.38 is: 13,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,267.05 : 23,828.29 = 9,713.38 : x
  2. Step 2: Convert to fraction form
    17,267.05/23,828.29 = 9,713.38/x
  3. Step 3: Cross multiply
    17,267.05x = 23,828.29 × 9,713.38
  4. Step 4: Simplify right side
    17,267.05x = 231,453,250.98
  5. Step 5: Solve for x
    x = 231,453,250.98/17,267.05
  6. Step 6: Final answer
    x = 13,404.33

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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.