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Finding the Fourth Proportional to 17,171.49, 25,754.76 and 6,646.48

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Solution

The fourth proportional to 17,171.49, 25,754.76 and 6,646.48 is: 9,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,171.49 : 25,754.76 = 6,646.48 : x
  2. Step 2: Convert to fraction form
    17,171.49/25,754.76 = 6,646.48/x
  3. Step 3: Cross multiply
    17,171.49x = 25,754.76 × 6,646.48
  4. Step 4: Simplify right side
    17,171.49x = 171,178,505.29
  5. Step 5: Solve for x
    x = 171,178,505.29/17,171.49
  6. Step 6: Final answer
    x = 9,968.76

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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.