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Finding the Fourth Proportional to 12,126.84, 16,734.90 and 6,821.70

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Solution

The fourth proportional to 12,126.84, 16,734.90 and 6,821.70 is: 9,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.84 : 16,734.90 = 6,821.70 : x
  2. Step 2: Convert to fraction form
    12,126.84/16,734.90 = 6,821.70/x
  3. Step 3: Cross multiply
    12,126.84x = 16,734.90 × 6,821.70
  4. Step 4: Simplify right side
    12,126.84x = 114,160,467.33
  5. Step 5: Solve for x
    x = 114,160,467.33/12,126.84
  6. Step 6: Final answer
    x = 9,413.87

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