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Finding the Fourth Proportional to 19,972.50, 27,562 and 11,019.97

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Solution

The fourth proportional to 19,972.50, 27,562 and 11,019.97 is: 15,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,972.50 : 27,562 = 11,019.97 : x
  2. Step 2: Convert to fraction form
    19,972.50/27,562 = 11,019.97/x
  3. Step 3: Cross multiply
    19,972.50x = 27,562 × 11,019.97
  4. Step 4: Simplify right side
    19,972.50x = 303,732,413.14
  5. Step 5: Solve for x
    x = 303,732,413.14/19,972.50
  6. Step 6: Final answer
    x = 15,207.53

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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.