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Finding the Fourth Proportional to 17,335.14, 25,997.13 and 5,645.63

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Solution

The fourth proportional to 17,335.14, 25,997.13 and 5,645.63 is: 8,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,335.14 : 25,997.13 = 5,645.63 : x
  2. Step 2: Convert to fraction form
    17,335.14/25,997.13 = 5,645.63/x
  3. Step 3: Cross multiply
    17,335.14x = 25,997.13 × 5,645.63
  4. Step 4: Simplify right side
    17,335.14x = 146,770,047.06
  5. Step 5: Solve for x
    x = 146,770,047.06/17,335.14
  6. Step 6: Final answer
    x = 8,466.62

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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.