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Finding the Fourth Proportional to 21,974.70, 30,324.36 and 12,414.93

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Solution

The fourth proportional to 21,974.70, 30,324.36 and 12,414.93 is: 17,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974.70 : 30,324.36 = 12,414.93 : x
  2. Step 2: Convert to fraction form
    21,974.70/30,324.36 = 12,414.93/x
  3. Step 3: Cross multiply
    21,974.70x = 30,324.36 × 12,414.93
  4. Step 4: Simplify right side
    21,974.70x = 376,474,806.69
  5. Step 5: Solve for x
    x = 376,474,806.69/21,974.70
  6. Step 6: Final answer
    x = 17,132.19

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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.