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Finding the Fourth Proportional to 17,358.13, 23,954.24 and 9,400.38

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Solution

The fourth proportional to 17,358.13, 23,954.24 and 9,400.38 is: 12,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,358.13 : 23,954.24 = 9,400.38 : x
  2. Step 2: Convert to fraction form
    17,358.13/23,954.24 = 9,400.38/x
  3. Step 3: Cross multiply
    17,358.13x = 23,954.24 × 9,400.38
  4. Step 4: Simplify right side
    17,358.13x = 225,178,958.61
  5. Step 5: Solve for x
    x = 225,178,958.61/17,358.13
  6. Step 6: Final answer
    x = 12,972.54

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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.