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Finding the Fourth Proportional to 12,618.15, 17,413.38 and 7,241.03

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Solution

The fourth proportional to 12,618.15, 17,413.38 and 7,241.03 is: 9,992.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,618.15 : 17,413.38 = 7,241.03 : x
  2. Step 2: Convert to fraction form
    12,618.15/17,413.38 = 7,241.03/x
  3. Step 3: Cross multiply
    12,618.15x = 17,413.38 × 7,241.03
  4. Step 4: Simplify right side
    12,618.15x = 126,090,719.91
  5. Step 5: Solve for x
    x = 126,090,719.91/12,618.15
  6. Step 6: Final answer
    x = 9,992.81

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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.