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Finding the Fourth Proportional to 14,517.54, 21,781.44 and 5,754.96

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Solution

The fourth proportional to 14,517.54, 21,781.44 and 5,754.96 is: 8,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.54 : 21,781.44 = 5,754.96 : x
  2. Step 2: Convert to fraction form
    14,517.54/21,781.44 = 5,754.96/x
  3. Step 3: Cross multiply
    14,517.54x = 21,781.44 × 5,754.96
  4. Step 4: Simplify right side
    14,517.54x = 125,351,315.94
  5. Step 5: Solve for x
    x = 125,351,315.94/14,517.54
  6. Step 6: Final answer
    x = 8,634.47

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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.