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Finding the Fourth Proportional to 17,358.29, 23,954.32 and 9,400.33

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Solution

The fourth proportional to 17,358.29, 23,954.32 and 9,400.33 is: 12,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,358.29 : 23,954.32 = 9,400.33 : x
  2. Step 2: Convert to fraction form
    17,358.29/23,954.32 = 9,400.33/x
  3. Step 3: Cross multiply
    17,358.29x = 23,954.32 × 9,400.33
  4. Step 4: Simplify right side
    17,358.29x = 225,178,512.93
  5. Step 5: Solve for x
    x = 225,178,512.93/17,358.29
  6. Step 6: Final answer
    x = 12,972.39

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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.