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Finding the Fourth Proportional to 18,821.96, 25,974.30 and 10,438.46

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Solution

The fourth proportional to 18,821.96, 25,974.30 and 10,438.46 is: 14,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,821.96 : 25,974.30 = 10,438.46 : x
  2. Step 2: Convert to fraction form
    18,821.96/25,974.30 = 10,438.46/x
  3. Step 3: Cross multiply
    18,821.96x = 25,974.30 × 10,438.46
  4. Step 4: Simplify right side
    18,821.96x = 271,131,691.58
  5. Step 5: Solve for x
    x = 271,131,691.58/18,821.96
  6. Step 6: Final answer
    x = 14,405.07

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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.