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Finding the Fourth Proportional to 16,966.68, 23,413.14 and 9,412.38

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Solution

The fourth proportional to 16,966.68, 23,413.14 and 9,412.38 is: 12,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.68 : 23,413.14 = 9,412.38 : x
  2. Step 2: Convert to fraction form
    16,966.68/23,413.14 = 9,412.38/x
  3. Step 3: Cross multiply
    16,966.68x = 23,413.14 × 9,412.38
  4. Step 4: Simplify right side
    16,966.68x = 220,373,370.67
  5. Step 5: Solve for x
    x = 220,373,370.67/16,966.68
  6. Step 6: Final answer
    x = 12,988.60

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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.