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Finding the Fourth Proportional to 25,936.48, 38,906.24 and 7,468

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Solution

The fourth proportional to 25,936.48, 38,906.24 and 7,468 is: 11,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,936.48 : 38,906.24 = 7,468 : x
  2. Step 2: Convert to fraction form
    25,936.48/38,906.24 = 7,468/x
  3. Step 3: Cross multiply
    25,936.48x = 38,906.24 × 7,468
  4. Step 4: Simplify right side
    25,936.48x = 290,551,800.32
  5. Step 5: Solve for x
    x = 290,551,800.32/25,936.48
  6. Step 6: Final answer
    x = 11,202.44

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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.