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Finding the Fourth Proportional to 16,966.92, 23,414.41 and 9,413.40

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Solution

The fourth proportional to 16,966.92, 23,414.41 and 9,413.40 is: 12,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.92 : 23,414.41 = 9,413.40 : x
  2. Step 2: Convert to fraction form
    16,966.92/23,414.41 = 9,413.40/x
  3. Step 3: Cross multiply
    16,966.92x = 23,414.41 × 9,413.40
  4. Step 4: Simplify right side
    16,966.92x = 220,409,207.09
  5. Step 5: Solve for x
    x = 220,409,207.09/16,966.92
  6. Step 6: Final answer
    x = 12,990.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.