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Finding the Fourth Proportional to 21,413.20, 29,546.95 and 12,214.83

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Solution

The fourth proportional to 21,413.20, 29,546.95 and 12,214.83 is: 16,854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.20 : 29,546.95 = 12,214.83 : x
  2. Step 2: Convert to fraction form
    21,413.20/29,546.95 = 12,214.83/x
  3. Step 3: Cross multiply
    21,413.20x = 29,546.95 × 12,214.83
  4. Step 4: Simplify right side
    21,413.20x = 360,910,910.19
  5. Step 5: Solve for x
    x = 360,910,910.19/21,413.20
  6. Step 6: Final answer
    x = 16,854.60

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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.