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Finding the Fourth Proportional to 25,768.49, 38,658.24 and 7,998.77

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Solution

The fourth proportional to 25,768.49, 38,658.24 and 7,998.77 is: 11,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,768.49 : 38,658.24 = 7,998.77 : x
  2. Step 2: Convert to fraction form
    25,768.49/38,658.24 = 7,998.77/x
  3. Step 3: Cross multiply
    25,768.49x = 38,658.24 × 7,998.77
  4. Step 4: Simplify right side
    25,768.49x = 309,218,467.01
  5. Step 5: Solve for x
    x = 309,218,467.01/25,768.49
  6. Step 6: Final answer
    x = 11,999.87

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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.