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Finding the Fourth Proportional to 17,178, 25,770.68 and 5,331.53

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Solution

The fourth proportional to 17,178, 25,770.68 and 5,331.53 is: 7,998.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,178 : 25,770.68 = 5,331.53 : x
  2. Step 2: Convert to fraction form
    17,178/25,770.68 = 5,331.53/x
  3. Step 3: Cross multiply
    17,178x = 25,770.68 × 5,331.53
  4. Step 4: Simplify right side
    17,178x = 137,396,998.03
  5. Step 5: Solve for x
    x = 137,396,998.03/17,178
  6. Step 6: Final answer
    x = 7,998.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.