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Finding the Fourth Proportional to 25,765.14, 38,645.85 and 7,995.34

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Solution

The fourth proportional to 25,765.14, 38,645.85 and 7,995.34 is: 11,992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,765.14 : 38,645.85 = 7,995.34 : x
  2. Step 2: Convert to fraction form
    25,765.14/38,645.85 = 7,995.34/x
  3. Step 3: Cross multiply
    25,765.14x = 38,645.85 × 7,995.34
  4. Step 4: Simplify right side
    25,765.14x = 308,986,710.34
  5. Step 5: Solve for x
    x = 308,986,710.34/25,765.14
  6. Step 6: Final answer
    x = 11,992.43

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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.