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Finding the Fourth Proportional to 17,983.76, 27,021 and 11,413.04

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Solution

The fourth proportional to 17,983.76, 27,021 and 11,413.04 is: 17,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,983.76 : 27,021 = 11,413.04 : x
  2. Step 2: Convert to fraction form
    17,983.76/27,021 = 11,413.04/x
  3. Step 3: Cross multiply
    17,983.76x = 27,021 × 11,413.04
  4. Step 4: Simplify right side
    17,983.76x = 308,391,753.84
  5. Step 5: Solve for x
    x = 308,391,753.84/17,983.76
  6. Step 6: Final answer
    x = 17,148.35

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