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Finding the Fourth Proportional to 19,522.97, 29,296.50 and 7,674.66

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Solution

The fourth proportional to 19,522.97, 29,296.50 and 7,674.66 is: 11,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,522.97 : 29,296.50 = 7,674.66 : x
  2. Step 2: Convert to fraction form
    19,522.97/29,296.50 = 7,674.66/x
  3. Step 3: Cross multiply
    19,522.97x = 29,296.50 × 7,674.66
  4. Step 4: Simplify right side
    19,522.97x = 224,840,757.77
  5. Step 5: Solve for x
    x = 224,840,757.77/19,522.97
  6. Step 6: Final answer
    x = 11,516.73

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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.