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Finding the Fourth Proportional to 17,084.78, 25,638.74 and 5,991.63

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Solution

The fourth proportional to 17,084.78, 25,638.74 and 5,991.63 is: 8,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.78 : 25,638.74 = 5,991.63 : x
  2. Step 2: Convert to fraction form
    17,084.78/25,638.74 = 5,991.63/x
  3. Step 3: Cross multiply
    17,084.78x = 25,638.74 × 5,991.63
  4. Step 4: Simplify right side
    17,084.78x = 153,617,843.75
  5. Step 5: Solve for x
    x = 153,617,843.75/17,084.78
  6. Step 6: Final answer
    x = 8,991.50

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Why These Related Problems?

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