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Finding the Fourth Proportional to 17,156.92, 25,743.38 and 6,072

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Solution

The fourth proportional to 17,156.92, 25,743.38 and 6,072 is: 9,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,156.92 : 25,743.38 = 6,072 : x
  2. Step 2: Convert to fraction form
    17,156.92/25,743.38 = 6,072/x
  3. Step 3: Cross multiply
    17,156.92x = 25,743.38 × 6,072
  4. Step 4: Simplify right side
    17,156.92x = 156,313,803.36
  5. Step 5: Solve for x
    x = 156,313,803.36/17,156.92
  6. Step 6: Final answer
    x = 9,110.83

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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.