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Finding the Fourth Proportional to 16,966.16, 23,413.29 and 9,413.65

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Solution

The fourth proportional to 16,966.16, 23,413.29 and 9,413.65 is: 12,990.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.16 : 23,413.29 = 9,413.65 : x
  2. Step 2: Convert to fraction form
    16,966.16/23,413.29 = 9,413.65/x
  3. Step 3: Cross multiply
    16,966.16x = 23,413.29 × 9,413.65
  4. Step 4: Simplify right side
    16,966.16x = 220,404,517.41
  5. Step 5: Solve for x
    x = 220,404,517.41/16,966.16
  6. Step 6: Final answer
    x = 12,990.83

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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.