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Finding the Fourth Proportional to 16,966.68, 23,414.16 and 9,413.50

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Solution

The fourth proportional to 16,966.68, 23,414.16 and 9,413.50 is: 12,990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.68 : 23,414.16 = 9,413.50 : x
  2. Step 2: Convert to fraction form
    16,966.68/23,414.16 = 9,413.50/x
  3. Step 3: Cross multiply
    16,966.68x = 23,414.16 × 9,413.50
  4. Step 4: Simplify right side
    16,966.68x = 220,409,195.16
  5. Step 5: Solve for x
    x = 220,409,195.16/16,966.68
  6. Step 6: Final answer
    x = 12,990.71

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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.