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Finding the Fourth Proportional to 17,013.42, 25,512.93 and 6,481.80

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Solution

The fourth proportional to 17,013.42, 25,512.93 and 6,481.80 is: 9,719.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,013.42 : 25,512.93 = 6,481.80 : x
  2. Step 2: Convert to fraction form
    17,013.42/25,512.93 = 6,481.80/x
  3. Step 3: Cross multiply
    17,013.42x = 25,512.93 × 6,481.80
  4. Step 4: Simplify right side
    17,013.42x = 165,369,709.67
  5. Step 5: Solve for x
    x = 165,369,709.67/17,013.42
  6. Step 6: Final answer
    x = 9,719.96

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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.