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Finding the Fourth Proportional to 25,464.90, 38,197.37 and 7,934.73

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Solution

The fourth proportional to 25,464.90, 38,197.37 and 7,934.73 is: 11,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,464.90 : 38,197.37 = 7,934.73 : x
  2. Step 2: Convert to fraction form
    25,464.90/38,197.37 = 7,934.73/x
  3. Step 3: Cross multiply
    25,464.90x = 38,197.37 × 7,934.73
  4. Step 4: Simplify right side
    25,464.90x = 303,085,817.66
  5. Step 5: Solve for x
    x = 303,085,817.66/25,464.90
  6. Step 6: Final answer
    x = 11,902.10

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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.