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Finding the Fourth Proportional to 16,383.69, 22,605.98 and 10,413.18

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Solution

The fourth proportional to 16,383.69, 22,605.98 and 10,413.18 is: 14,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.69 : 22,605.98 = 10,413.18 : x
  2. Step 2: Convert to fraction form
    16,383.69/22,605.98 = 10,413.18/x
  3. Step 3: Cross multiply
    16,383.69x = 22,605.98 × 10,413.18
  4. Step 4: Simplify right side
    16,383.69x = 235,400,086.75
  5. Step 5: Solve for x
    x = 235,400,086.75/16,383.69
  6. Step 6: Final answer
    x = 14,367.95

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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.