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Finding the Fourth Proportional to 13,896.63, 19,177.34 and 7,609

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Solution

The fourth proportional to 13,896.63, 19,177.34 and 7,609 is: 10,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.63 : 19,177.34 = 7,609 : x
  2. Step 2: Convert to fraction form
    13,896.63/19,177.34 = 7,609/x
  3. Step 3: Cross multiply
    13,896.63x = 19,177.34 × 7,609
  4. Step 4: Simplify right side
    13,896.63x = 145,920,380.06
  5. Step 5: Solve for x
    x = 145,920,380.06/13,896.63
  6. Step 6: Final answer
    x = 10,500.41

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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.