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Finding the Fourth Proportional to 17,297.49, 25,948.50 and 6,205.42

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Solution

The fourth proportional to 17,297.49, 25,948.50 and 6,205.42 is: 9,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,297.49 : 25,948.50 = 6,205.42 : x
  2. Step 2: Convert to fraction form
    17,297.49/25,948.50 = 6,205.42/x
  3. Step 3: Cross multiply
    17,297.49x = 25,948.50 × 6,205.42
  4. Step 4: Simplify right side
    17,297.49x = 161,021,340.87
  5. Step 5: Solve for x
    x = 161,021,340.87/17,297.49
  6. Step 6: Final answer
    x = 9,308.94

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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.