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Finding the Fourth Proportional to 12,190.98, 16,822.74 and 6,884.76

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Solution

The fourth proportional to 12,190.98, 16,822.74 and 6,884.76 is: 9,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.98 : 16,822.74 = 6,884.76 : x
  2. Step 2: Convert to fraction form
    12,190.98/16,822.74 = 6,884.76/x
  3. Step 3: Cross multiply
    12,190.98x = 16,822.74 × 6,884.76
  4. Step 4: Simplify right side
    12,190.98x = 115,820,527.44
  5. Step 5: Solve for x
    x = 115,820,527.44/12,190.98
  6. Step 6: Final answer
    x = 9,500.51

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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.