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Finding the Fourth Proportional to 31,413.70, 43,351.77 and 17,267.86

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Solution

The fourth proportional to 31,413.70, 43,351.77 and 17,267.86 is: 23,830.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,413.70 : 43,351.77 = 17,267.86 : x
  2. Step 2: Convert to fraction form
    31,413.70/43,351.77 = 17,267.86/x
  3. Step 3: Cross multiply
    31,413.70x = 43,351.77 × 17,267.86
  4. Step 4: Simplify right side
    31,413.70x = 748,592,295.11
  5. Step 5: Solve for x
    x = 748,592,295.11/31,413.70
  6. Step 6: Final answer
    x = 23,830.12

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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.