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Finding the Fourth Proportional to 13,896.56, 19,177.36 and 7,608.94

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Solution

The fourth proportional to 13,896.56, 19,177.36 and 7,608.94 is: 10,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.56 : 19,177.36 = 7,608.94 : x
  2. Step 2: Convert to fraction form
    13,896.56/19,177.36 = 7,608.94/x
  3. Step 3: Cross multiply
    13,896.56x = 19,177.36 × 7,608.94
  4. Step 4: Simplify right side
    13,896.56x = 145,919,314.63
  5. Step 5: Solve for x
    x = 145,919,314.63/13,896.56
  6. Step 6: Final answer
    x = 10,500.39

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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.