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Finding the Fourth Proportional to 14,183.50, 19,573.86 and 7,896.28

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Solution

The fourth proportional to 14,183.50, 19,573.86 and 7,896.28 is: 10,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183.50 : 19,573.86 = 7,896.28 : x
  2. Step 2: Convert to fraction form
    14,183.50/19,573.86 = 7,896.28/x
  3. Step 3: Cross multiply
    14,183.50x = 19,573.86 × 7,896.28
  4. Step 4: Simplify right side
    14,183.50x = 154,560,679.24
  5. Step 5: Solve for x
    x = 154,560,679.24/14,183.50
  6. Step 6: Final answer
    x = 10,897.22

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