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Finding the Fourth Proportional to 12,126.83, 16,733.84 and 6,821.54

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Solution

The fourth proportional to 12,126.83, 16,733.84 and 6,821.54 is: 9,413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.83 : 16,733.84 = 6,821.54 : x
  2. Step 2: Convert to fraction form
    12,126.83/16,733.84 = 6,821.54/x
  3. Step 3: Cross multiply
    12,126.83x = 16,733.84 × 6,821.54
  4. Step 4: Simplify right side
    12,126.83x = 114,150,492.30
  5. Step 5: Solve for x
    x = 114,150,492.30/12,126.83
  6. Step 6: Final answer
    x = 9,413.05

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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.