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Finding the Fourth Proportional to 25,937.82, 38,872.89 and 11,892.78

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Solution

The fourth proportional to 25,937.82, 38,872.89 and 11,892.78 is: 17,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,937.82 : 38,872.89 = 11,892.78 : x
  2. Step 2: Convert to fraction form
    25,937.82/38,872.89 = 11,892.78/x
  3. Step 3: Cross multiply
    25,937.82x = 38,872.89 × 11,892.78
  4. Step 4: Simplify right side
    25,937.82x = 462,306,728.73
  5. Step 5: Solve for x
    x = 462,306,728.73/25,937.82
  6. Step 6: Final answer
    x = 17,823.65

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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.