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Finding the Fourth Proportional to 17,204.89, 25,742.13 and 10,188.67

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Solution

The fourth proportional to 17,204.89, 25,742.13 and 10,188.67 is: 15,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.89 : 25,742.13 = 10,188.67 : x
  2. Step 2: Convert to fraction form
    17,204.89/25,742.13 = 10,188.67/x
  3. Step 3: Cross multiply
    17,204.89x = 25,742.13 × 10,188.67
  4. Step 4: Simplify right side
    17,204.89x = 262,278,067.67
  5. Step 5: Solve for x
    x = 262,278,067.67/17,204.89
  6. Step 6: Final answer
    x = 15,244.39

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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.