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Finding the Fourth Proportional to 25,760.50, 38,665.68 and 12,442.84

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Solution

The fourth proportional to 25,760.50, 38,665.68 and 12,442.84 is: 18,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,760.50 : 38,665.68 = 12,442.84 : x
  2. Step 2: Convert to fraction form
    25,760.50/38,665.68 = 12,442.84/x
  3. Step 3: Cross multiply
    25,760.50x = 38,665.68 × 12,442.84
  4. Step 4: Simplify right side
    25,760.50x = 481,110,869.73
  5. Step 5: Solve for x
    x = 481,110,869.73/25,760.50
  6. Step 6: Final answer
    x = 18,676.30

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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.