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Finding the Fourth Proportional to 13,896.52, 19,177.24 and 7,609.30

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Solution

The fourth proportional to 13,896.52, 19,177.24 and 7,609.30 is: 10,500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.52 : 19,177.24 = 7,609.30 : x
  2. Step 2: Convert to fraction form
    13,896.52/19,177.24 = 7,609.30/x
  3. Step 3: Cross multiply
    13,896.52x = 19,177.24 × 7,609.30
  4. Step 4: Simplify right side
    13,896.52x = 145,925,372.33
  5. Step 5: Solve for x
    x = 145,925,372.33/13,896.52
  6. Step 6: Final answer
    x = 10,500.86

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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.