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Finding the Fourth Proportional to 25,733.57, 38,604.04 and 7,965.79

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Solution

The fourth proportional to 25,733.57, 38,604.04 and 7,965.79 is: 11,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,733.57 : 38,604.04 = 7,965.79 : x
  2. Step 2: Convert to fraction form
    25,733.57/38,604.04 = 7,965.79/x
  3. Step 3: Cross multiply
    25,733.57x = 38,604.04 × 7,965.79
  4. Step 4: Simplify right side
    25,733.57x = 307,511,675.79
  5. Step 5: Solve for x
    x = 307,511,675.79/25,733.57
  6. Step 6: Final answer
    x = 11,949.83

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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.