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Finding the Fourth Proportional to 17,234.34, 25,851.61 and 6,141.46

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Solution

The fourth proportional to 17,234.34, 25,851.61 and 6,141.46 is: 9,212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234.34 : 25,851.61 = 6,141.46 : x
  2. Step 2: Convert to fraction form
    17,234.34/25,851.61 = 6,141.46/x
  3. Step 3: Cross multiply
    17,234.34x = 25,851.61 × 6,141.46
  4. Step 4: Simplify right side
    17,234.34x = 158,766,499.49
  5. Step 5: Solve for x
    x = 158,766,499.49/17,234.34
  6. Step 6: Final answer
    x = 9,212.22

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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.