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Finding the Fourth Proportional to 18,083.69, 24,958.44 and 12,413.73

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Solution

The fourth proportional to 18,083.69, 24,958.44 and 12,413.73 is: 17,132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,083.69 : 24,958.44 = 12,413.73 : x
  2. Step 2: Convert to fraction form
    18,083.69/24,958.44 = 12,413.73/x
  3. Step 3: Cross multiply
    18,083.69x = 24,958.44 × 12,413.73
  4. Step 4: Simplify right side
    18,083.69x = 309,827,335.38
  5. Step 5: Solve for x
    x = 309,827,335.38/18,083.69
  6. Step 6: Final answer
    x = 17,132.98

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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.