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Finding the Fourth Proportional to 16,241.84, 22,413.74 and 8,789.84

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Solution

The fourth proportional to 16,241.84, 22,413.74 and 8,789.84 is: 12,129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.84 : 22,413.74 = 8,789.84 : x
  2. Step 2: Convert to fraction form
    16,241.84/22,413.74 = 8,789.84/x
  3. Step 3: Cross multiply
    16,241.84x = 22,413.74 × 8,789.84
  4. Step 4: Simplify right side
    16,241.84x = 197,013,053.40
  5. Step 5: Solve for x
    x = 197,013,053.40/16,241.84
  6. Step 6: Final answer
    x = 12,129.97

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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.