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Finding the Fourth Proportional to 10,872.56, 14,891.72 and 10,234.23

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Solution

The fourth proportional to 10,872.56, 14,891.72 and 10,234.23 is: 14,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.56 : 14,891.72 = 10,234.23 : x
  2. Step 2: Convert to fraction form
    10,872.56/14,891.72 = 10,234.23/x
  3. Step 3: Cross multiply
    10,872.56x = 14,891.72 × 10,234.23
  4. Step 4: Simplify right side
    10,872.56x = 152,405,236.40
  5. Step 5: Solve for x
    x = 152,405,236.40/10,872.56
  6. Step 6: Final answer
    x = 14,017.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.