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Finding the Fourth Proportional to 25,791, 38,671.44 and 8,016.84

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Solution

The fourth proportional to 25,791, 38,671.44 and 8,016.84 is: 12,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,791 : 38,671.44 = 8,016.84 : x
  2. Step 2: Convert to fraction form
    25,791/38,671.44 = 8,016.84/x
  3. Step 3: Cross multiply
    25,791x = 38,671.44 × 8,016.84
  4. Step 4: Simplify right side
    25,791x = 310,022,747.05
  5. Step 5: Solve for x
    x = 310,022,747.05/25,791
  6. Step 6: Final answer
    x = 12,020.58

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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.