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Finding the Fourth Proportional to 17,202.30, 25,738.20 and 10,186.08

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Solution

The fourth proportional to 17,202.30, 25,738.20 and 10,186.08 is: 15,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.30 : 25,738.20 = 10,186.08 : x
  2. Step 2: Convert to fraction form
    17,202.30/25,738.20 = 10,186.08/x
  3. Step 3: Cross multiply
    17,202.30x = 25,738.20 × 10,186.08
  4. Step 4: Simplify right side
    17,202.30x = 262,171,364.26
  5. Step 5: Solve for x
    x = 262,171,364.26/17,202.30
  6. Step 6: Final answer
    x = 15,240.48

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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.