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Finding the Fourth Proportional to 16,216.88, 24,286.13 and 7,876.31

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Solution

The fourth proportional to 16,216.88, 24,286.13 and 7,876.31 is: 11,795.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.88 : 24,286.13 = 7,876.31 : x
  2. Step 2: Convert to fraction form
    16,216.88/24,286.13 = 7,876.31/x
  3. Step 3: Cross multiply
    16,216.88x = 24,286.13 × 7,876.31
  4. Step 4: Simplify right side
    16,216.88x = 191,284,957.30
  5. Step 5: Solve for x
    x = 191,284,957.30/16,216.88
  6. Step 6: Final answer
    x = 11,795.43

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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.