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Finding the Fourth Proportional to 12,151.09, 16,769.85 and 7,674.62

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Solution

The fourth proportional to 12,151.09, 16,769.85 and 7,674.62 is: 10,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.09 : 16,769.85 = 7,674.62 : x
  2. Step 2: Convert to fraction form
    12,151.09/16,769.85 = 7,674.62/x
  3. Step 3: Cross multiply
    12,151.09x = 16,769.85 × 7,674.62
  4. Step 4: Simplify right side
    12,151.09x = 128,702,226.21
  5. Step 5: Solve for x
    x = 128,702,226.21/12,151.09
  6. Step 6: Final answer
    x = 10,591.83

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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.