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Finding the Fourth Proportional to 17,187.36, 25,766.35 and 7,824.04

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Solution

The fourth proportional to 17,187.36, 25,766.35 and 7,824.04 is: 11,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,187.36 : 25,766.35 = 7,824.04 : x
  2. Step 2: Convert to fraction form
    17,187.36/25,766.35 = 7,824.04/x
  3. Step 3: Cross multiply
    17,187.36x = 25,766.35 × 7,824.04
  4. Step 4: Simplify right side
    17,187.36x = 201,597,058.02
  5. Step 5: Solve for x
    x = 201,597,058.02/17,187.36
  6. Step 6: Final answer
    x = 11,729.38

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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.