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Finding the Fourth Proportional to 17,235.34, 25,853.11 and 6,142.46

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Solution

The fourth proportional to 17,235.34, 25,853.11 and 6,142.46 is: 9,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235.34 : 25,853.11 = 6,142.46 : x
  2. Step 2: Convert to fraction form
    17,235.34/25,853.11 = 6,142.46/x
  3. Step 3: Cross multiply
    17,235.34x = 25,853.11 × 6,142.46
  4. Step 4: Simplify right side
    17,235.34x = 158,801,694.05
  5. Step 5: Solve for x
    x = 158,801,694.05/17,235.34
  6. Step 6: Final answer
    x = 9,213.73

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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.