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Finding the Fourth Proportional to 21,914.72, 30,233.02 and 13,413.64

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Solution

The fourth proportional to 21,914.72, 30,233.02 and 13,413.64 is: 18,505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,914.72 : 30,233.02 = 13,413.64 : x
  2. Step 2: Convert to fraction form
    21,914.72/30,233.02 = 13,413.64/x
  3. Step 3: Cross multiply
    21,914.72x = 30,233.02 × 13,413.64
  4. Step 4: Simplify right side
    21,914.72x = 405,534,846.39
  5. Step 5: Solve for x
    x = 405,534,846.39/21,914.72
  6. Step 6: Final answer
    x = 18,505.13

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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.