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Finding the Fourth Proportional to 15,839.57, 23,765.09 and 7,413.48

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Solution

The fourth proportional to 15,839.57, 23,765.09 and 7,413.48 is: 11,122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,839.57 : 23,765.09 = 7,413.48 : x
  2. Step 2: Convert to fraction form
    15,839.57/23,765.09 = 7,413.48/x
  3. Step 3: Cross multiply
    15,839.57x = 23,765.09 × 7,413.48
  4. Step 4: Simplify right side
    15,839.57x = 176,181,982.35
  5. Step 5: Solve for x
    x = 176,181,982.35/15,839.57
  6. Step 6: Final answer
    x = 11,122.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.