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Finding the Fourth Proportional to 17,157.34, 25,736.28 and 6,769

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Solution

The fourth proportional to 17,157.34, 25,736.28 and 6,769 is: 10,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,157.34 : 25,736.28 = 6,769 : x
  2. Step 2: Convert to fraction form
    17,157.34/25,736.28 = 6,769/x
  3. Step 3: Cross multiply
    17,157.34x = 25,736.28 × 6,769
  4. Step 4: Simplify right side
    17,157.34x = 174,208,879.32
  5. Step 5: Solve for x
    x = 174,208,879.32/17,157.34
  6. Step 6: Final answer
    x = 10,153.61

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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.