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Finding the Fourth Proportional to 20,462.32, 30,672.80 and 7,974.56

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Solution

The fourth proportional to 20,462.32, 30,672.80 and 7,974.56 is: 11,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462.32 : 30,672.80 = 7,974.56 : x
  2. Step 2: Convert to fraction form
    20,462.32/30,672.80 = 7,974.56/x
  3. Step 3: Cross multiply
    20,462.32x = 30,672.80 × 7,974.56
  4. Step 4: Simplify right side
    20,462.32x = 244,602,083.97
  5. Step 5: Solve for x
    x = 244,602,083.97/20,462.32
  6. Step 6: Final answer
    x = 11,953.78

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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.