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Finding the Fourth Proportional to 19,826.62, 29,738.49 and 7,344.34

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Solution

The fourth proportional to 19,826.62, 29,738.49 and 7,344.34 is: 11,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.62 : 29,738.49 = 7,344.34 : x
  2. Step 2: Convert to fraction form
    19,826.62/29,738.49 = 7,344.34/x
  3. Step 3: Cross multiply
    19,826.62x = 29,738.49 × 7,344.34
  4. Step 4: Simplify right side
    19,826.62x = 218,409,581.65
  5. Step 5: Solve for x
    x = 218,409,581.65/19,826.62
  6. Step 6: Final answer
    x = 11,015.98

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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.