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Finding the Fourth Proportional to 19,824.69, 29,729.62 and 7,974.46

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Solution

The fourth proportional to 19,824.69, 29,729.62 and 7,974.46 is: 11,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.69 : 29,729.62 = 7,974.46 : x
  2. Step 2: Convert to fraction form
    19,824.69/29,729.62 = 7,974.46/x
  3. Step 3: Cross multiply
    19,824.69x = 29,729.62 × 7,974.46
  4. Step 4: Simplify right side
    19,824.69x = 237,077,476.98
  5. Step 5: Solve for x
    x = 237,077,476.98/19,824.69
  6. Step 6: Final answer
    x = 11,958.70

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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.