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Finding the Fourth Proportional to 17,324.38, 25,988.96 and 6,229

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Solution

The fourth proportional to 17,324.38, 25,988.96 and 6,229 is: 9,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,324.38 : 25,988.96 = 6,229 : x
  2. Step 2: Convert to fraction form
    17,324.38/25,988.96 = 6,229/x
  3. Step 3: Cross multiply
    17,324.38x = 25,988.96 × 6,229
  4. Step 4: Simplify right side
    17,324.38x = 161,885,231.84
  5. Step 5: Solve for x
    x = 161,885,231.84/17,324.38
  6. Step 6: Final answer
    x = 9,344.36

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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.