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Finding the Fourth Proportional to 13,615.38, 18,789.30 and 7,647.30

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Solution

The fourth proportional to 13,615.38, 18,789.30 and 7,647.30 is: 10,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.38 : 18,789.30 = 7,647.30 : x
  2. Step 2: Convert to fraction form
    13,615.38/18,789.30 = 7,647.30/x
  3. Step 3: Cross multiply
    13,615.38x = 18,789.30 × 7,647.30
  4. Step 4: Simplify right side
    13,615.38x = 143,687,413.89
  5. Step 5: Solve for x
    x = 143,687,413.89/13,615.38
  6. Step 6: Final answer
    x = 10,553.32

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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.