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Finding the Fourth Proportional to 18,822.26, 25,974.72 and 10,438.76

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Solution

The fourth proportional to 18,822.26, 25,974.72 and 10,438.76 is: 14,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,822.26 : 25,974.72 = 10,438.76 : x
  2. Step 2: Convert to fraction form
    18,822.26/25,974.72 = 10,438.76/x
  3. Step 3: Cross multiply
    18,822.26x = 25,974.72 × 10,438.76
  4. Step 4: Simplify right side
    18,822.26x = 271,143,738.27
  5. Step 5: Solve for x
    x = 271,143,738.27/18,822.26
  6. Step 6: Final answer
    x = 14,405.49

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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.