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Finding the Fourth Proportional to 17,133.92, 25,694.40 and 6,740

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Solution

The fourth proportional to 17,133.92, 25,694.40 and 6,740 is: 10,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,133.92 : 25,694.40 = 6,740 : x
  2. Step 2: Convert to fraction form
    17,133.92/25,694.40 = 6,740/x
  3. Step 3: Cross multiply
    17,133.92x = 25,694.40 × 6,740
  4. Step 4: Simplify right side
    17,133.92x = 173,180,256
  5. Step 5: Solve for x
    x = 173,180,256/17,133.92
  6. Step 6: Final answer
    x = 10,107.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.