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Finding the Fourth Proportional to 25,456.73, 38,169.75 and 11,414.22

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Solution

The fourth proportional to 25,456.73, 38,169.75 and 11,414.22 is: 17,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,456.73 : 38,169.75 = 11,414.22 : x
  2. Step 2: Convert to fraction form
    25,456.73/38,169.75 = 11,414.22/x
  3. Step 3: Cross multiply
    25,456.73x = 38,169.75 × 11,414.22
  4. Step 4: Simplify right side
    25,456.73x = 435,677,923.85
  5. Step 5: Solve for x
    x = 435,677,923.85/25,456.73
  6. Step 6: Final answer
    x = 17,114.45

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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.