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Finding the Fourth Proportional to 16,966.38, 23,413.14 and 9,412.68

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Solution

The fourth proportional to 16,966.38, 23,413.14 and 9,412.68 is: 12,989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.38 : 23,413.14 = 9,412.68 : x
  2. Step 2: Convert to fraction form
    16,966.38/23,413.14 = 9,412.68/x
  3. Step 3: Cross multiply
    16,966.38x = 23,413.14 × 9,412.68
  4. Step 4: Simplify right side
    16,966.38x = 220,380,394.62
  5. Step 5: Solve for x
    x = 220,380,394.62/16,966.38
  6. Step 6: Final answer
    x = 12,989.24

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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.