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Finding the Fourth Proportional to 31,413.54, 43,351.02 and 17,266.80

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Solution

The fourth proportional to 31,413.54, 43,351.02 and 17,266.80 is: 23,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,413.54 : 43,351.02 = 17,266.80 : x
  2. Step 2: Convert to fraction form
    31,413.54/43,351.02 = 17,266.80/x
  3. Step 3: Cross multiply
    31,413.54x = 43,351.02 × 17,266.80
  4. Step 4: Simplify right side
    31,413.54x = 748,533,392.14
  5. Step 5: Solve for x
    x = 748,533,392.14/31,413.54
  6. Step 6: Final answer
    x = 23,828.37

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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.