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Finding the Fourth Proportional to 21,413.57, 29,551.69 and 11,982.13

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Solution

The fourth proportional to 21,413.57, 29,551.69 and 11,982.13 is: 16,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.57 : 29,551.69 = 11,982.13 : x
  2. Step 2: Convert to fraction form
    21,413.57/29,551.69 = 11,982.13/x
  3. Step 3: Cross multiply
    21,413.57x = 29,551.69 × 11,982.13
  4. Step 4: Simplify right side
    21,413.57x = 354,092,065.00
  5. Step 5: Solve for x
    x = 354,092,065.00/21,413.57
  6. Step 6: Final answer
    x = 16,535.88

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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.