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Finding the Fourth Proportional to 18,822.25, 25,974.75 and 10,438.75

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Solution

The fourth proportional to 18,822.25, 25,974.75 and 10,438.75 is: 14,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,822.25 : 25,974.75 = 10,438.75 : x
  2. Step 2: Convert to fraction form
    18,822.25/25,974.75 = 10,438.75/x
  3. Step 3: Cross multiply
    18,822.25x = 25,974.75 × 10,438.75
  4. Step 4: Simplify right side
    18,822.25x = 271,143,921.56
  5. Step 5: Solve for x
    x = 271,143,921.56/18,822.25
  6. Step 6: Final answer
    x = 14,405.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.