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Finding the Fourth Proportional to 17,200.33, 25,778.91 and 9,302.53

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Solution

The fourth proportional to 17,200.33, 25,778.91 and 9,302.53 is: 13,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.33 : 25,778.91 = 9,302.53 : x
  2. Step 2: Convert to fraction form
    17,200.33/25,778.91 = 9,302.53/x
  3. Step 3: Cross multiply
    17,200.33x = 25,778.91 × 9,302.53
  4. Step 4: Simplify right side
    17,200.33x = 239,809,083.64
  5. Step 5: Solve for x
    x = 239,809,083.64/17,200.33
  6. Step 6: Final answer
    x = 13,942.12

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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.