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Finding the Fourth Proportional to 14,163.66, 19,546.38 and 7,876.44

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Solution

The fourth proportional to 14,163.66, 19,546.38 and 7,876.44 is: 10,869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163.66 : 19,546.38 = 7,876.44 : x
  2. Step 2: Convert to fraction form
    14,163.66/19,546.38 = 7,876.44/x
  3. Step 3: Cross multiply
    14,163.66x = 19,546.38 × 7,876.44
  4. Step 4: Simplify right side
    14,163.66x = 153,955,889.29
  5. Step 5: Solve for x
    x = 153,955,889.29/14,163.66
  6. Step 6: Final answer
    x = 10,869.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.