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Finding the Fourth Proportional to 20,413.69, 28,170.64 and 11,460.96

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Solution

The fourth proportional to 20,413.69, 28,170.64 and 11,460.96 is: 15,815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.69 : 28,170.64 = 11,460.96 : x
  2. Step 2: Convert to fraction form
    20,413.69/28,170.64 = 11,460.96/x
  3. Step 3: Cross multiply
    20,413.69x = 28,170.64 × 11,460.96
  4. Step 4: Simplify right side
    20,413.69x = 322,862,578.21
  5. Step 5: Solve for x
    x = 322,862,578.21/20,413.69
  6. Step 6: Final answer
    x = 15,815.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.